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Finding the Third Proportional to 32,866 and 71,953

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Solution

The third proportional to 32,866 and 71,953 is: 157,525.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,866 : 71,953 = 71,953 : x
  2. Step 2: Convert to fraction form
    32,866/71,953 = 71,953/x
  3. Step 3: Cross multiply
    32,866x = 71,953 × 71,953
  4. Step 4: Simplify right side
    32,866x = 5,177,234,209
  5. Step 5: Solve for x
    x = 5,177,234,209/32,866
  6. Step 6: Final answer
    x = 157,525.53

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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.