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Finding the Third Proportional to 10,243.55 and 20,862.98

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Solution

The third proportional to 10,243.55 and 20,862.98 is: 42,491.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243.55 : 20,862.98 = 20,862.98 : x
  2. Step 2: Convert to fraction form
    10,243.55/20,862.98 = 20,862.98/x
  3. Step 3: Cross multiply
    10,243.55x = 20,862.98 × 20,862.98
  4. Step 4: Simplify right side
    10,243.55x = 435,264,117.03
  5. Step 5: Solve for x
    x = 435,264,117.03/10,243.55
  6. Step 6: Final answer
    x = 42,491.54

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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.