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Finding the Third Proportional to 843,480 and 1,821,864

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Solution

The third proportional to 843,480 and 1,821,864 is: 3,935,112.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,480 : 1,821,864 = 1,821,864 : x
  2. Step 2: Convert to fraction form
    843,480/1,821,864 = 1,821,864/x
  3. Step 3: Cross multiply
    843,480x = 1,821,864 × 1,821,864
  4. Step 4: Simplify right side
    843,480x = 3,319,188,434,496
  5. Step 5: Solve for x
    x = 3,319,188,434,496/843,480
  6. Step 6: Final answer
    x = 3,935,112.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.