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Finding the Third Proportional to 13,831.59 and 21,288.66

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Solution

The third proportional to 13,831.59 and 21,288.66 is: 32,766.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,831.59 : 21,288.66 = 21,288.66 : x
  2. Step 2: Convert to fraction form
    13,831.59/21,288.66 = 21,288.66/x
  3. Step 3: Cross multiply
    13,831.59x = 21,288.66 × 21,288.66
  4. Step 4: Simplify right side
    13,831.59x = 453,206,884.93
  5. Step 5: Solve for x
    x = 453,206,884.93/13,831.59
  6. Step 6: Final answer
    x = 32,766.06

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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.