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Finding the Third Proportional to 33,787.13 and 43,831.13

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Solution

The third proportional to 33,787.13 and 43,831.13 is: 56,860.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,787.13 : 43,831.13 = 43,831.13 : x
  2. Step 2: Convert to fraction form
    33,787.13/43,831.13 = 43,831.13/x
  3. Step 3: Cross multiply
    33,787.13x = 43,831.13 × 43,831.13
  4. Step 4: Simplify right side
    33,787.13x = 1,921,167,518.77
  5. Step 5: Solve for x
    x = 1,921,167,518.77/33,787.13
  6. Step 6: Final answer
    x = 56,860.94

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.