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Finding the Third Proportional to 80,308 and 169,660

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Solution

The third proportional to 80,308 and 169,660 is: 358,426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,308 : 169,660 = 169,660 : x
  2. Step 2: Convert to fraction form
    80,308/169,660 = 169,660/x
  3. Step 3: Cross multiply
    80,308x = 169,660 × 169,660
  4. Step 4: Simplify right side
    80,308x = 28,784,515,600
  5. Step 5: Solve for x
    x = 28,784,515,600/80,308
  6. Step 6: Final answer
    x = 358,426.50

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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.