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Finding the Third Proportional to 75,730 and 117,247

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Solution

The third proportional to 75,730 and 117,247 is: 181,524.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,730 : 117,247 = 117,247 : x
  2. Step 2: Convert to fraction form
    75,730/117,247 = 117,247/x
  3. Step 3: Cross multiply
    75,730x = 117,247 × 117,247
  4. Step 4: Simplify right side
    75,730x = 13,746,859,009
  5. Step 5: Solve for x
    x = 13,746,859,009/75,730
  6. Step 6: Final answer
    x = 181,524.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.