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Finding the Third Proportional to 387,524 and 851,431

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Solution

The third proportional to 387,524 and 851,431 is: 1,870,683.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,524 : 851,431 = 851,431 : x
  2. Step 2: Convert to fraction form
    387,524/851,431 = 851,431/x
  3. Step 3: Cross multiply
    387,524x = 851,431 × 851,431
  4. Step 4: Simplify right side
    387,524x = 724,934,747,761
  5. Step 5: Solve for x
    x = 724,934,747,761/387,524
  6. Step 6: Final answer
    x = 1,870,683.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.