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Finding the Third Proportional to 5,239.88 and 7,120.13

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Solution

The third proportional to 5,239.88 and 7,120.13 is: 9,675.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.88 : 7,120.13 = 7,120.13 : x
  2. Step 2: Convert to fraction form
    5,239.88/7,120.13 = 7,120.13/x
  3. Step 3: Cross multiply
    5,239.88x = 7,120.13 × 7,120.13
  4. Step 4: Simplify right side
    5,239.88x = 50,696,180.02
  5. Step 5: Solve for x
    x = 50,696,180.02/5,239.88
  6. Step 6: Final answer
    x = 9,675.07

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.