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Finding the Third Proportional to 80,720.50 and 159,371

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Solution

The third proportional to 80,720.50 and 159,371 is: 314,655.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,720.50 : 159,371 = 159,371 : x
  2. Step 2: Convert to fraction form
    80,720.50/159,371 = 159,371/x
  3. Step 3: Cross multiply
    80,720.50x = 159,371 × 159,371
  4. Step 4: Simplify right side
    80,720.50x = 25,399,115,641
  5. Step 5: Solve for x
    x = 25,399,115,641/80,720.50
  6. Step 6: Final answer
    x = 314,655.08

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.