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Finding the Third Proportional to 80,386 and 118,173

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Solution

The third proportional to 80,386 and 118,173 is: 173,722.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,386 : 118,173 = 118,173 : x
  2. Step 2: Convert to fraction form
    80,386/118,173 = 118,173/x
  3. Step 3: Cross multiply
    80,386x = 118,173 × 118,173
  4. Step 4: Simplify right side
    80,386x = 13,964,857,929
  5. Step 5: Solve for x
    x = 13,964,857,929/80,386
  6. Step 6: Final answer
    x = 173,722.51

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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.