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Finding the Third Proportional to 140,242 and 217,566

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Solution

The third proportional to 140,242 and 217,566 is: 337,523.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,242 : 217,566 = 217,566 : x
  2. Step 2: Convert to fraction form
    140,242/217,566 = 217,566/x
  3. Step 3: Cross multiply
    140,242x = 217,566 × 217,566
  4. Step 4: Simplify right side
    140,242x = 47,334,964,356
  5. Step 5: Solve for x
    x = 47,334,964,356/140,242
  6. Step 6: Final answer
    x = 337,523.45

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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.