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Finding the Third Proportional to 217,468.50 and 260,542.50

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Solution

The third proportional to 217,468.50 and 260,542.50 is: 312,148.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,468.50 : 260,542.50 = 260,542.50 : x
  2. Step 2: Convert to fraction form
    217,468.50/260,542.50 = 260,542.50/x
  3. Step 3: Cross multiply
    217,468.50x = 260,542.50 × 260,542.50
  4. Step 4: Simplify right side
    217,468.50x = 67,882,394,306.25
  5. Step 5: Solve for x
    x = 67,882,394,306.25/217,468.50
  6. Step 6: Final answer
    x = 312,148.17

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.