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Finding the Third Proportional to 59.41 and 87.07

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Solution

The third proportional to 59.41 and 87.07 is: 127.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.41 : 87.07 = 87.07 : x
  2. Step 2: Convert to fraction form
    59.41/87.07 = 87.07/x
  3. Step 3: Cross multiply
    59.41x = 87.07 × 87.07
  4. Step 4: Simplify right side
    59.41x = 7,581.24
  5. Step 5: Solve for x
    x = 7,581.24/59.41
  6. Step 6: Final answer
    x = 127.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.