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Finding the Third Proportional to 7,872.19 and 11,041.31

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Solution

The third proportional to 7,872.19 and 11,041.31 is: 15,486.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.19 : 11,041.31 = 11,041.31 : x
  2. Step 2: Convert to fraction form
    7,872.19/11,041.31 = 11,041.31/x
  3. Step 3: Cross multiply
    7,872.19x = 11,041.31 × 11,041.31
  4. Step 4: Simplify right side
    7,872.19x = 121,910,581.72
  5. Step 5: Solve for x
    x = 121,910,581.72/7,872.19
  6. Step 6: Final answer
    x = 15,486.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.