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Finding the Third Proportional to 40,915.13 and 57,120.19

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Solution

The third proportional to 40,915.13 and 57,120.19 is: 79,743.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,915.13 : 57,120.19 = 57,120.19 : x
  2. Step 2: Convert to fraction form
    40,915.13/57,120.19 = 57,120.19/x
  3. Step 3: Cross multiply
    40,915.13x = 57,120.19 × 57,120.19
  4. Step 4: Simplify right side
    40,915.13x = 3,262,715,820.04
  5. Step 5: Solve for x
    x = 3,262,715,820.04/40,915.13
  6. Step 6: Final answer
    x = 79,743.51

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.