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Finding the Third Proportional to 648.73 and 929.85

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Solution

The third proportional to 648.73 and 929.85 is: 1,332.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.73 : 929.85 = 929.85 : x
  2. Step 2: Convert to fraction form
    648.73/929.85 = 929.85/x
  3. Step 3: Cross multiply
    648.73x = 929.85 × 929.85
  4. Step 4: Simplify right side
    648.73x = 864,618.71
  5. Step 5: Solve for x
    x = 864,618.71/648.73
  6. Step 6: Final answer
    x = 1,332.78

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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.