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Finding the Third Proportional to 80,309 and 117,583

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Solution

The third proportional to 80,309 and 117,583 is: 172,157.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,309 : 117,583 = 117,583 : x
  2. Step 2: Convert to fraction form
    80,309/117,583 = 117,583/x
  3. Step 3: Cross multiply
    80,309x = 117,583 × 117,583
  4. Step 4: Simplify right side
    80,309x = 13,825,761,889
  5. Step 5: Solve for x
    x = 13,825,761,889/80,309
  6. Step 6: Final answer
    x = 172,157.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.