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Finding the Third Proportional to 40,915.13 and 70,257.38

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Solution

The third proportional to 40,915.13 and 70,257.38 is: 120,642.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,915.13 : 70,257.38 = 70,257.38 : x
  2. Step 2: Convert to fraction form
    40,915.13/70,257.38 = 70,257.38/x
  3. Step 3: Cross multiply
    40,915.13x = 70,257.38 × 70,257.38
  4. Step 4: Simplify right side
    40,915.13x = 4,936,098,741.89
  5. Step 5: Solve for x
    x = 4,936,098,741.89/40,915.13
  6. Step 6: Final answer
    x = 120,642.40

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.