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Finding the Third Proportional to 393,721 and 813,688

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Solution

The third proportional to 393,721 and 813,688 is: 1,681,617.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,721 : 813,688 = 813,688 : x
  2. Step 2: Convert to fraction form
    393,721/813,688 = 813,688/x
  3. Step 3: Cross multiply
    393,721x = 813,688 × 813,688
  4. Step 4: Simplify right side
    393,721x = 662,088,161,344
  5. Step 5: Solve for x
    x = 662,088,161,344/393,721
  6. Step 6: Final answer
    x = 1,681,617.60

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.