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Finding the Third Proportional to 80,432 and 118,306

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Solution

The third proportional to 80,432 and 118,306 is: 174,014.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,432 : 118,306 = 118,306 : x
  2. Step 2: Convert to fraction form
    80,432/118,306 = 118,306/x
  3. Step 3: Cross multiply
    80,432x = 118,306 × 118,306
  4. Step 4: Simplify right side
    80,432x = 13,996,309,636
  5. Step 5: Solve for x
    x = 13,996,309,636/80,432
  6. Step 6: Final answer
    x = 174,014.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.