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Finding the Third Proportional to 60 and 90.47

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Solution

The third proportional to 60 and 90.47 is: 136.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    60 : 90.47 = 90.47 : x
  2. Step 2: Convert to fraction form
    60/90.47 = 90.47/x
  3. Step 3: Cross multiply
    60x = 90.47 × 90.47
  4. Step 4: Simplify right side
    60x = 8,184.59
  5. Step 5: Solve for x
    x = 8,184.59/60
  6. Step 6: Final answer
    x = 136.41

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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.