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Finding the Third Proportional to 614.72 and 921.85

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Solution

The third proportional to 614.72 and 921.85 is: 1,382.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.72 : 921.85 = 921.85 : x
  2. Step 2: Convert to fraction form
    614.72/921.85 = 921.85/x
  3. Step 3: Cross multiply
    614.72x = 921.85 × 921.85
  4. Step 4: Simplify right side
    614.72x = 849,806.70
  5. Step 5: Solve for x
    x = 849,806.70/614.72
  6. Step 6: Final answer
    x = 1,382.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.