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Finding the Third Proportional to 138,289.22 and 213,575.27

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Solution

The third proportional to 138,289.22 and 213,575.27 is: 329,847.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,289.22 : 213,575.27 = 213,575.27 : x
  2. Step 2: Convert to fraction form
    138,289.22/213,575.27 = 213,575.27/x
  3. Step 3: Cross multiply
    138,289.22x = 213,575.27 × 213,575.27
  4. Step 4: Simplify right side
    138,289.22x = 45,614,397,423.90
  5. Step 5: Solve for x
    x = 45,614,397,423.90/138,289.22
  6. Step 6: Final answer
    x = 329,847.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.