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Finding the Third Proportional to 139,156.31 and 211,377.09

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Solution

The third proportional to 139,156.31 and 211,377.09 is: 321,079.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,156.31 : 211,377.09 = 211,377.09 : x
  2. Step 2: Convert to fraction form
    139,156.31/211,377.09 = 211,377.09/x
  3. Step 3: Cross multiply
    139,156.31x = 211,377.09 × 211,377.09
  4. Step 4: Simplify right side
    139,156.31x = 44,680,275,762.20
  5. Step 5: Solve for x
    x = 44,680,275,762.20/139,156.31
  6. Step 6: Final answer
    x = 321,079.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.