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Finding the Third Proportional to 402,340 and 747,620

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Solution

The third proportional to 402,340 and 747,620 is: 1,389,212.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,340 : 747,620 = 747,620 : x
  2. Step 2: Convert to fraction form
    402,340/747,620 = 747,620/x
  3. Step 3: Cross multiply
    402,340x = 747,620 × 747,620
  4. Step 4: Simplify right side
    402,340x = 558,935,664,400
  5. Step 5: Solve for x
    x = 558,935,664,400/402,340
  6. Step 6: Final answer
    x = 1,389,212.27

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.