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Finding the Third Proportional to 217,577 and 337,604

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Solution

The third proportional to 217,577 and 337,604 is: 523,844.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,577 : 337,604 = 337,604 : x
  2. Step 2: Convert to fraction form
    217,577/337,604 = 337,604/x
  3. Step 3: Cross multiply
    217,577x = 337,604 × 337,604
  4. Step 4: Simplify right side
    217,577x = 113,976,460,816
  5. Step 5: Solve for x
    x = 113,976,460,816/217,577
  6. Step 6: Final answer
    x = 523,844.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.