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Finding the Third Proportional to 178,646,783 and 386,972,250

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Solution

The third proportional to 178,646,783 and 386,972,250 is: 838,232,403.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,646,783 : 386,972,250 = 386,972,250 : x
  2. Step 2: Convert to fraction form
    178,646,783/386,972,250 = 386,972,250/x
  3. Step 3: Cross multiply
    178,646,783x = 386,972,250 × 386,972,250
  4. Step 4: Simplify right side
    178,646,783x = 149,747,522,270,062,496
  5. Step 5: Solve for x
    x = 149,747,522,270,062,496/178,646,783
  6. Step 6: Final answer
    x = 838,232,403.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.