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Finding the Third Proportional to 10,243.13 and 20,862.56

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Solution

The third proportional to 10,243.13 and 20,862.56 is: 42,491.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243.13 : 20,862.56 = 20,862.56 : x
  2. Step 2: Convert to fraction form
    10,243.13/20,862.56 = 20,862.56/x
  3. Step 3: Cross multiply
    10,243.13x = 20,862.56 × 20,862.56
  4. Step 4: Simplify right side
    10,243.13x = 435,246,514.07
  5. Step 5: Solve for x
    x = 435,246,514.07/10,243.13
  6. Step 6: Final answer
    x = 42,491.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.