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Finding the Third Proportional to 402,351 and 747,642

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Solution

The third proportional to 402,351 and 747,642 is: 1,389,256.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,351 : 747,642 = 747,642 : x
  2. Step 2: Convert to fraction form
    402,351/747,642 = 747,642/x
  3. Step 3: Cross multiply
    402,351x = 747,642 × 747,642
  4. Step 4: Simplify right side
    402,351x = 558,968,560,164
  5. Step 5: Solve for x
    x = 558,968,560,164/402,351
  6. Step 6: Final answer
    x = 1,389,256.05

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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.