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Finding the Third Proportional to 32.15 and 68.57

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Solution

The third proportional to 32.15 and 68.57 is: 146.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.15 : 68.57 = 68.57 : x
  2. Step 2: Convert to fraction form
    32.15/68.57 = 68.57/x
  3. Step 3: Cross multiply
    32.15x = 68.57 × 68.57
  4. Step 4: Simplify right side
    32.15x = 4,702.16
  5. Step 5: Solve for x
    x = 4,702.16/32.15
  6. Step 6: Final answer
    x = 146.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.