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Finding the Third Proportional to 2,102.91 and 2,915.44

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Solution

The third proportional to 2,102.91 and 2,915.44 is: 4,041.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.91 : 2,915.44 = 2,915.44 : x
  2. Step 2: Convert to fraction form
    2,102.91/2,915.44 = 2,915.44/x
  3. Step 3: Cross multiply
    2,102.91x = 2,915.44 × 2,915.44
  4. Step 4: Simplify right side
    2,102.91x = 8,499,775.82
  5. Step 5: Solve for x
    x = 8,499,775.82/2,102.91
  6. Step 6: Final answer
    x = 4,041.92

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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.