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Finding the Third Proportional to 605.25 and 932.88

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Solution

The third proportional to 605.25 and 932.88 is: 1,437.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.25 : 932.88 = 932.88 : x
  2. Step 2: Convert to fraction form
    605.25/932.88 = 932.88/x
  3. Step 3: Cross multiply
    605.25x = 932.88 × 932.88
  4. Step 4: Simplify right side
    605.25x = 870,255.77
  5. Step 5: Solve for x
    x = 870,255.77/605.25
  6. Step 6: Final answer
    x = 1,437.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.