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Finding the Third Proportional to 82,137 and 119,377.50

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Solution

The third proportional to 82,137 and 119,377.50 is: 173,502.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,137 : 119,377.50 = 119,377.50 : x
  2. Step 2: Convert to fraction form
    82,137/119,377.50 = 119,377.50/x
  3. Step 3: Cross multiply
    82,137x = 119,377.50 × 119,377.50
  4. Step 4: Simplify right side
    82,137x = 14,250,987,506.25
  5. Step 5: Solve for x
    x = 14,250,987,506.25/82,137
  6. Step 6: Final answer
    x = 173,502.65

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.