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Finding the Third Proportional to 86.90 and 135.15

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Solution

The third proportional to 86.90 and 135.15 is: 210.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.90 : 135.15 = 135.15 : x
  2. Step 2: Convert to fraction form
    86.90/135.15 = 135.15/x
  3. Step 3: Cross multiply
    86.90x = 135.15 × 135.15
  4. Step 4: Simplify right side
    86.90x = 18,266.18
  5. Step 5: Solve for x
    x = 18,266.18/86.90
  6. Step 6: Final answer
    x = 210.20

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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.