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Finding the Third Proportional to 76,600 and 114,981

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Solution

The third proportional to 76,600 and 114,981 is: 172,593.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,600 : 114,981 = 114,981 : x
  2. Step 2: Convert to fraction form
    76,600/114,981 = 114,981/x
  3. Step 3: Cross multiply
    76,600x = 114,981 × 114,981
  4. Step 4: Simplify right side
    76,600x = 13,220,630,361
  5. Step 5: Solve for x
    x = 13,220,630,361/76,600
  6. Step 6: Final answer
    x = 172,593.09

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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.