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Finding the Third Proportional to 649.27 and 929.76

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Solution

The third proportional to 649.27 and 929.76 is: 1,331.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.27 : 929.76 = 929.76 : x
  2. Step 2: Convert to fraction form
    649.27/929.76 = 929.76/x
  3. Step 3: Cross multiply
    649.27x = 929.76 × 929.76
  4. Step 4: Simplify right side
    649.27x = 864,453.22
  5. Step 5: Solve for x
    x = 864,453.22/649.27
  6. Step 6: Final answer
    x = 1,331.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.