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Finding the Third Proportional to 473,666,440,608 and 1,034,131,188,864

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Solution

The third proportional to 473,666,440,608 and 1,034,131,188,864 is: 2,257,764,587,266.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,666,440,608 : 1,034,131,188,864 = 1,034,131,188,864 : x
  2. Step 2: Convert to fraction form
    473,666,440,608/1,034,131,188,864 = 1,034,131,188,864/x
  3. Step 3: Cross multiply
    473,666,440,608x = 1,034,131,188,864 × 1,034,131,188,864
  4. Step 4: Simplify right side
    473,666,440,608x = 1,069,427,315,781,270,016,884,736
  5. Step 5: Solve for x
    x = 1,069,427,315,781,270,016,884,736/473,666,440,608
  6. Step 6: Final answer
    x = 2,257,764,587,266.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.