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Finding the Third Proportional to 82,137.38 and 119,976.47

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Solution

The third proportional to 82,137.38 and 119,976.47 is: 175,247.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,137.38 : 119,976.47 = 119,976.47 : x
  2. Step 2: Convert to fraction form
    82,137.38/119,976.47 = 119,976.47/x
  3. Step 3: Cross multiply
    82,137.38x = 119,976.47 × 119,976.47
  4. Step 4: Simplify right side
    82,137.38x = 14,394,353,053.72
  5. Step 5: Solve for x
    x = 14,394,353,053.72/82,137.38
  6. Step 6: Final answer
    x = 175,247.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.