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Finding the Third Proportional to 55.90 and 71.58

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Solution

The third proportional to 55.90 and 71.58 is: 91.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.90 : 71.58 = 71.58 : x
  2. Step 2: Convert to fraction form
    55.90/71.58 = 71.58/x
  3. Step 3: Cross multiply
    55.90x = 71.58 × 71.58
  4. Step 4: Simplify right side
    55.90x = 5,123.43
  5. Step 5: Solve for x
    x = 5,123.43/55.90
  6. Step 6: Final answer
    x = 91.66

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.