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Finding the Third Proportional to 10,221.19 and 13,680.14

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Solution

The third proportional to 10,221.19 and 13,680.14 is: 18,309.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.19 : 13,680.14 = 13,680.14 : x
  2. Step 2: Convert to fraction form
    10,221.19/13,680.14 = 13,680.14/x
  3. Step 3: Cross multiply
    10,221.19x = 13,680.14 × 13,680.14
  4. Step 4: Simplify right side
    10,221.19x = 187,146,247.52
  5. Step 5: Solve for x
    x = 187,146,247.52/10,221.19
  6. Step 6: Final answer
    x = 18,309.64

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.