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Finding the Third Proportional to 87.64 and 117.07

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Solution

The third proportional to 87.64 and 117.07 is: 156.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.64 : 117.07 = 117.07 : x
  2. Step 2: Convert to fraction form
    87.64/117.07 = 117.07/x
  3. Step 3: Cross multiply
    87.64x = 117.07 × 117.07
  4. Step 4: Simplify right side
    87.64x = 13,705.46
  5. Step 5: Solve for x
    x = 13,705.46/87.64
  6. Step 6: Final answer
    x = 156.38

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.