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Finding the Third Proportional to 614.45 and 921.74

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Solution

The third proportional to 614.45 and 921.74 is: 1,382.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.45 : 921.74 = 921.74 : x
  2. Step 2: Convert to fraction form
    614.45/921.74 = 921.74/x
  3. Step 3: Cross multiply
    614.45x = 921.74 × 921.74
  4. Step 4: Simplify right side
    614.45x = 849,612.26
  5. Step 5: Solve for x
    x = 849,612.26/614.45
  6. Step 6: Final answer
    x = 1,382.72

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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.