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Finding the Third Proportional to 79,532.16 and 171,517.78

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Solution

The third proportional to 79,532.16 and 171,517.78 is: 369,892.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,532.16 : 171,517.78 = 171,517.78 : x
  2. Step 2: Convert to fraction form
    79,532.16/171,517.78 = 171,517.78/x
  3. Step 3: Cross multiply
    79,532.16x = 171,517.78 × 171,517.78
  4. Step 4: Simplify right side
    79,532.16x = 29,418,349,284.92
  5. Step 5: Solve for x
    x = 29,418,349,284.92/79,532.16
  6. Step 6: Final answer
    x = 369,892.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.