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Finding the Third Proportional to 177,901.50 and 278,517

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Solution

The third proportional to 177,901.50 and 278,517 is: 436,037.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,901.50 : 278,517 = 278,517 : x
  2. Step 2: Convert to fraction form
    177,901.50/278,517 = 278,517/x
  3. Step 3: Cross multiply
    177,901.50x = 278,517 × 278,517
  4. Step 4: Simplify right side
    177,901.50x = 77,571,719,289
  5. Step 5: Solve for x
    x = 77,571,719,289/177,901.50
  6. Step 6: Final answer
    x = 436,037.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.