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Finding the Third Proportional to 76,399 and 114,742

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Solution

The third proportional to 76,399 and 114,742 is: 172,328.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,399 : 114,742 = 114,742 : x
  2. Step 2: Convert to fraction form
    76,399/114,742 = 114,742/x
  3. Step 3: Cross multiply
    76,399x = 114,742 × 114,742
  4. Step 4: Simplify right side
    76,399x = 13,165,726,564
  5. Step 5: Solve for x
    x = 13,165,726,564/76,399
  6. Step 6: Final answer
    x = 172,328.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.