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Finding the Third Proportional to 5,110.13 and 7,915.31

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Solution

The third proportional to 5,110.13 and 7,915.31 is: 12,260.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,110.13 : 7,915.31 = 7,915.31 : x
  2. Step 2: Convert to fraction form
    5,110.13/7,915.31 = 7,915.31/x
  3. Step 3: Cross multiply
    5,110.13x = 7,915.31 × 7,915.31
  4. Step 4: Simplify right side
    5,110.13x = 62,652,171.97
  5. Step 5: Solve for x
    x = 62,652,171.97/5,110.13
  6. Step 6: Final answer
    x = 12,260.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.