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Finding the Third Proportional to 488.14 and 731.37

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Solution

The third proportional to 488.14 and 731.37 is: 1,095.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.14 : 731.37 = 731.37 : x
  2. Step 2: Convert to fraction form
    488.14/731.37 = 731.37/x
  3. Step 3: Cross multiply
    488.14x = 731.37 × 731.37
  4. Step 4: Simplify right side
    488.14x = 534,906.53
  5. Step 5: Solve for x
    x = 534,906.53/488.14
  6. Step 6: Final answer
    x = 1,095.82

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