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Finding the Third Proportional to 1,915.52 and 4,331.29

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Solution

The third proportional to 1,915.52 and 4,331.29 is: 9,793.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.52 : 4,331.29 = 4,331.29 : x
  2. Step 2: Convert to fraction form
    1,915.52/4,331.29 = 4,331.29/x
  3. Step 3: Cross multiply
    1,915.52x = 4,331.29 × 4,331.29
  4. Step 4: Simplify right side
    1,915.52x = 18,760,031.10
  5. Step 5: Solve for x
    x = 18,760,031.10/1,915.52
  6. Step 6: Final answer
    x = 9,793.68

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.