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Finding the Third Proportional to 10,680.19 and 22,939.88

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Solution

The third proportional to 10,680.19 and 22,939.88 is: 49,272.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,680.19 : 22,939.88 = 22,939.88 : x
  2. Step 2: Convert to fraction form
    10,680.19/22,939.88 = 22,939.88/x
  3. Step 3: Cross multiply
    10,680.19x = 22,939.88 × 22,939.88
  4. Step 4: Simplify right side
    10,680.19x = 526,237,865.02
  5. Step 5: Solve for x
    x = 526,237,865.02/10,680.19
  6. Step 6: Final answer
    x = 49,272.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.