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Finding the Third Proportional to 402,520 and 861,402

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Solution

The third proportional to 402,520 and 861,402 is: 1,843,419.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,520 : 861,402 = 861,402 : x
  2. Step 2: Convert to fraction form
    402,520/861,402 = 861,402/x
  3. Step 3: Cross multiply
    402,520x = 861,402 × 861,402
  4. Step 4: Simplify right side
    402,520x = 742,013,405,604
  5. Step 5: Solve for x
    x = 742,013,405,604/402,520
  6. Step 6: Final answer
    x = 1,843,419.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.