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Finding the Third Proportional to 52.31 and 78.89

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Solution

The third proportional to 52.31 and 78.89 is: 118.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.31 : 78.89 = 78.89 : x
  2. Step 2: Convert to fraction form
    52.31/78.89 = 78.89/x
  3. Step 3: Cross multiply
    52.31x = 78.89 × 78.89
  4. Step 4: Simplify right side
    52.31x = 6,223.73
  5. Step 5: Solve for x
    x = 6,223.73/52.31
  6. Step 6: Final answer
    x = 118.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.