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Finding the Third Proportional to 131,831.30 and 283,687.31

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Solution

The third proportional to 131,831.30 and 283,687.31 is: 610,465.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,831.30 : 283,687.31 = 283,687.31 : x
  2. Step 2: Convert to fraction form
    131,831.30/283,687.31 = 283,687.31/x
  3. Step 3: Cross multiply
    131,831.30x = 283,687.31 × 283,687.31
  4. Step 4: Simplify right side
    131,831.30x = 80,478,491,273.47
  5. Step 5: Solve for x
    x = 80,478,491,273.47/131,831.30
  6. Step 6: Final answer
    x = 610,465.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.