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Finding the Third Proportional to 52.86 and 84.90

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Solution

The third proportional to 52.86 and 84.90 is: 136.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.86 : 84.90 = 84.90 : x
  2. Step 2: Convert to fraction form
    52.86/84.90 = 84.90/x
  3. Step 3: Cross multiply
    52.86x = 84.90 × 84.90
  4. Step 4: Simplify right side
    52.86x = 7,207.29
  5. Step 5: Solve for x
    x = 7,207.29/52.86
  6. Step 6: Final answer
    x = 136.35

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.