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Finding the Third Proportional to 76,551 and 113,733

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Solution

The third proportional to 76,551 and 113,733 is: 168,974.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,551 : 113,733 = 113,733 : x
  2. Step 2: Convert to fraction form
    76,551/113,733 = 113,733/x
  3. Step 3: Cross multiply
    76,551x = 113,733 × 113,733
  4. Step 4: Simplify right side
    76,551x = 12,935,195,289
  5. Step 5: Solve for x
    x = 12,935,195,289/76,551
  6. Step 6: Final answer
    x = 168,974.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.