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Finding the Third Proportional to 32,931 and 72,135

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Solution

The third proportional to 32,931 and 72,135 is: 158,010.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,931 : 72,135 = 72,135 : x
  2. Step 2: Convert to fraction form
    32,931/72,135 = 72,135/x
  3. Step 3: Cross multiply
    32,931x = 72,135 × 72,135
  4. Step 4: Simplify right side
    32,931x = 5,203,458,225
  5. Step 5: Solve for x
    x = 5,203,458,225/32,931
  6. Step 6: Final answer
    x = 158,010.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.