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Finding the Third Proportional to 345,980 and 748,822

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Solution

The third proportional to 345,980 and 748,822 is: 1,620,713.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,980 : 748,822 = 748,822 : x
  2. Step 2: Convert to fraction form
    345,980/748,822 = 748,822/x
  3. Step 3: Cross multiply
    345,980x = 748,822 × 748,822
  4. Step 4: Simplify right side
    345,980x = 560,734,387,684
  5. Step 5: Solve for x
    x = 560,734,387,684/345,980
  6. Step 6: Final answer
    x = 1,620,713.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.