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Finding the Third Proportional to 9,648.42 and 20,592.84

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Solution

The third proportional to 9,648.42 and 20,592.84 is: 43,951.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.42 : 20,592.84 = 20,592.84 : x
  2. Step 2: Convert to fraction form
    9,648.42/20,592.84 = 20,592.84/x
  3. Step 3: Cross multiply
    9,648.42x = 20,592.84 × 20,592.84
  4. Step 4: Simplify right side
    9,648.42x = 424,065,213.71
  5. Step 5: Solve for x
    x = 424,065,213.71/9,648.42
  6. Step 6: Final answer
    x = 43,951.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.