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Finding the Third Proportional to 80,316 and 169,674

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Solution

The third proportional to 80,316 and 169,674 is: 358,449.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,316 : 169,674 = 169,674 : x
  2. Step 2: Convert to fraction form
    80,316/169,674 = 169,674/x
  3. Step 3: Cross multiply
    80,316x = 169,674 × 169,674
  4. Step 4: Simplify right side
    80,316x = 28,789,266,276
  5. Step 5: Solve for x
    x = 28,789,266,276/80,316
  6. Step 6: Final answer
    x = 358,449.95

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.