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Finding the Third Proportional to 356,780 and 748,592

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Solution

The third proportional to 356,780 and 748,592 is: 1,570,687.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,780 : 748,592 = 748,592 : x
  2. Step 2: Convert to fraction form
    356,780/748,592 = 748,592/x
  3. Step 3: Cross multiply
    356,780x = 748,592 × 748,592
  4. Step 4: Simplify right side
    356,780x = 560,389,982,464
  5. Step 5: Solve for x
    x = 560,389,982,464/356,780
  6. Step 6: Final answer
    x = 1,570,687.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.