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Finding the Third Proportional to 76,149 and 113,778

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Solution

The third proportional to 76,149 and 113,778 is: 170,001.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,149 : 113,778 = 113,778 : x
  2. Step 2: Convert to fraction form
    76,149/113,778 = 113,778/x
  3. Step 3: Cross multiply
    76,149x = 113,778 × 113,778
  4. Step 4: Simplify right side
    76,149x = 12,945,433,284
  5. Step 5: Solve for x
    x = 12,945,433,284/76,149
  6. Step 6: Final answer
    x = 170,001.36

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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.