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Finding the Third Proportional to 13,211.86 and 20,461.36

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Solution

The third proportional to 13,211.86 and 20,461.36 is: 31,688.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211.86 : 20,461.36 = 20,461.36 : x
  2. Step 2: Convert to fraction form
    13,211.86/20,461.36 = 20,461.36/x
  3. Step 3: Cross multiply
    13,211.86x = 20,461.36 × 20,461.36
  4. Step 4: Simplify right side
    13,211.86x = 418,667,227.47
  5. Step 5: Solve for x
    x = 418,667,227.47/13,211.86
  6. Step 6: Final answer
    x = 31,688.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.