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Finding the Third Proportional to 2,122.59 and 4,677.19

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Solution

The third proportional to 2,122.59 and 4,677.19 is: 10,306.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.59 : 4,677.19 = 4,677.19 : x
  2. Step 2: Convert to fraction form
    2,122.59/4,677.19 = 4,677.19/x
  3. Step 3: Cross multiply
    2,122.59x = 4,677.19 × 4,677.19
  4. Step 4: Simplify right side
    2,122.59x = 21,876,082.91
  5. Step 5: Solve for x
    x = 21,876,082.91/2,122.59
  6. Step 6: Final answer
    x = 10,306.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.