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Finding the Third Proportional to 5,239.13 and 10,387.13

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Solution

The third proportional to 5,239.13 and 10,387.13 is: 20,593.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.13 : 10,387.13 = 10,387.13 : x
  2. Step 2: Convert to fraction form
    5,239.13/10,387.13 = 10,387.13/x
  3. Step 3: Cross multiply
    5,239.13x = 10,387.13 × 10,387.13
  4. Step 4: Simplify right side
    5,239.13x = 107,892,365.77
  5. Step 5: Solve for x
    x = 107,892,365.77/5,239.13
  6. Step 6: Final answer
    x = 20,593.58

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.