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Finding the Third Proportional to 10,251.56 and 13,461.19

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Solution

The third proportional to 10,251.56 and 13,461.19 is: 17,675.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251.56 : 13,461.19 = 13,461.19 : x
  2. Step 2: Convert to fraction form
    10,251.56/13,461.19 = 13,461.19/x
  3. Step 3: Cross multiply
    10,251.56x = 13,461.19 × 13,461.19
  4. Step 4: Simplify right side
    10,251.56x = 181,203,568.91
  5. Step 5: Solve for x
    x = 181,203,568.91/10,251.56
  6. Step 6: Final answer
    x = 17,675.70

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.