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Finding the Third Proportional to 80,663 and 175,319

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Solution

The third proportional to 80,663 and 175,319 is: 381,051.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,663 : 175,319 = 175,319 : x
  2. Step 2: Convert to fraction form
    80,663/175,319 = 175,319/x
  3. Step 3: Cross multiply
    80,663x = 175,319 × 175,319
  4. Step 4: Simplify right side
    80,663x = 30,736,751,761
  5. Step 5: Solve for x
    x = 30,736,751,761/80,663
  6. Step 6: Final answer
    x = 381,051.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.