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Finding the Third Proportional to 33,448 and 71,566

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Solution

The third proportional to 33,448 and 71,566 is: 153,124.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,448 : 71,566 = 71,566 : x
  2. Step 2: Convert to fraction form
    33,448/71,566 = 71,566/x
  3. Step 3: Cross multiply
    33,448x = 71,566 × 71,566
  4. Step 4: Simplify right side
    33,448x = 5,121,692,356
  5. Step 5: Solve for x
    x = 5,121,692,356/33,448
  6. Step 6: Final answer
    x = 153,124.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.