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Finding the Third Proportional to 131,311.13 and 288,147.38

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Solution

The third proportional to 131,311.13 and 288,147.38 is: 632,306.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,311.13 : 288,147.38 = 288,147.38 : x
  2. Step 2: Convert to fraction form
    131,311.13/288,147.38 = 288,147.38/x
  3. Step 3: Cross multiply
    131,311.13x = 288,147.38 × 288,147.38
  4. Step 4: Simplify right side
    131,311.13x = 83,028,909,719.39
  5. Step 5: Solve for x
    x = 83,028,909,719.39/131,311.13
  6. Step 6: Final answer
    x = 632,306.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.