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Finding the Third Proportional to 58.78 and 91.55

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Solution

The third proportional to 58.78 and 91.55 is: 142.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.78 : 91.55 = 91.55 : x
  2. Step 2: Convert to fraction form
    58.78/91.55 = 91.55/x
  3. Step 3: Cross multiply
    58.78x = 91.55 × 91.55
  4. Step 4: Simplify right side
    58.78x = 8,380.83
  5. Step 5: Solve for x
    x = 8,380.83/58.78
  6. Step 6: Final answer
    x = 142.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.