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Finding the Third Proportional to 4,862.06 and 10,463.25

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Solution

The third proportional to 4,862.06 and 10,463.25 is: 22,517.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.06 : 10,463.25 = 10,463.25 : x
  2. Step 2: Convert to fraction form
    4,862.06/10,463.25 = 10,463.25/x
  3. Step 3: Cross multiply
    4,862.06x = 10,463.25 × 10,463.25
  4. Step 4: Simplify right side
    4,862.06x = 109,479,600.56
  5. Step 5: Solve for x
    x = 109,479,600.56/4,862.06
  6. Step 6: Final answer
    x = 22,517.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.