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Finding the Third Proportional to 5,140.13 and 10,972.97

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Solution

The third proportional to 5,140.13 and 10,972.97 is: 23,424.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.13 : 10,972.97 = 10,972.97 : x
  2. Step 2: Convert to fraction form
    5,140.13/10,972.97 = 10,972.97/x
  3. Step 3: Cross multiply
    5,140.13x = 10,972.97 × 10,972.97
  4. Step 4: Simplify right side
    5,140.13x = 120,406,043.19
  5. Step 5: Solve for x
    x = 120,406,043.19/5,140.13
  6. Step 6: Final answer
    x = 23,424.73

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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.