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Finding the Third Proportional to 4,122.56 and 8,709.19

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Solution

The third proportional to 4,122.56 and 8,709.19 is: 18,398.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.56 : 8,709.19 = 8,709.19 : x
  2. Step 2: Convert to fraction form
    4,122.56/8,709.19 = 8,709.19/x
  3. Step 3: Cross multiply
    4,122.56x = 8,709.19 × 8,709.19
  4. Step 4: Simplify right side
    4,122.56x = 75,849,946.91
  5. Step 5: Solve for x
    x = 75,849,946.91/4,122.56
  6. Step 6: Final answer
    x = 18,398.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.