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Finding the Third Proportional to 356,799 and 748,620

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Solution

The third proportional to 356,799 and 748,620 is: 1,570,721.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,799 : 748,620 = 748,620 : x
  2. Step 2: Convert to fraction form
    356,799/748,620 = 748,620/x
  3. Step 3: Cross multiply
    356,799x = 748,620 × 748,620
  4. Step 4: Simplify right side
    356,799x = 560,431,904,400
  5. Step 5: Solve for x
    x = 560,431,904,400/356,799
  6. Step 6: Final answer
    x = 1,570,721.62

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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.