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Finding the Third Proportional to 56.25 and 132.47

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Solution

The third proportional to 56.25 and 132.47 is: 311.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.25 : 132.47 = 132.47 : x
  2. Step 2: Convert to fraction form
    56.25/132.47 = 132.47/x
  3. Step 3: Cross multiply
    56.25x = 132.47 × 132.47
  4. Step 4: Simplify right side
    56.25x = 17,547.97
  5. Step 5: Solve for x
    x = 17,547.97/56.25
  6. Step 6: Final answer
    x = 311.96

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.