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Finding the Third Proportional to 31,407.75 and 43,512.19

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Solution

The third proportional to 31,407.75 and 43,512.19 is: 60,281.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,407.75 : 43,512.19 = 43,512.19 : x
  2. Step 2: Convert to fraction form
    31,407.75/43,512.19 = 43,512.19/x
  3. Step 3: Cross multiply
    31,407.75x = 43,512.19 × 43,512.19
  4. Step 4: Simplify right side
    31,407.75x = 1,893,310,461.04
  5. Step 5: Solve for x
    x = 1,893,310,461.04/31,407.75
  6. Step 6: Final answer
    x = 60,281.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.