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Finding the Third Proportional to 5,280.19 and 7,381.97

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Solution

The third proportional to 5,280.19 and 7,381.97 is: 10,320.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280.19 : 7,381.97 = 7,381.97 : x
  2. Step 2: Convert to fraction form
    5,280.19/7,381.97 = 7,381.97/x
  3. Step 3: Cross multiply
    5,280.19x = 7,381.97 × 7,381.97
  4. Step 4: Simplify right side
    5,280.19x = 54,493,462.63
  5. Step 5: Solve for x
    x = 54,493,462.63/5,280.19
  6. Step 6: Final answer
    x = 10,320.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.