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Finding the Third Proportional to 33,691.50 and 71,490

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Solution

The third proportional to 33,691.50 and 71,490 is: 151,694.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,691.50 : 71,490 = 71,490 : x
  2. Step 2: Convert to fraction form
    33,691.50/71,490 = 71,490/x
  3. Step 3: Cross multiply
    33,691.50x = 71,490 × 71,490
  4. Step 4: Simplify right side
    33,691.50x = 5,110,820,100
  5. Step 5: Solve for x
    x = 5,110,820,100/33,691.50
  6. Step 6: Final answer
    x = 151,694.64

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.