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Finding the Third Proportional to 3,132.84 and 7,365.09

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Solution

The third proportional to 3,132.84 and 7,365.09 is: 17,314.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.84 : 7,365.09 = 7,365.09 : x
  2. Step 2: Convert to fraction form
    3,132.84/7,365.09 = 7,365.09/x
  3. Step 3: Cross multiply
    3,132.84x = 7,365.09 × 7,365.09
  4. Step 4: Simplify right side
    3,132.84x = 54,244,605.95
  5. Step 5: Solve for x
    x = 54,244,605.95/3,132.84
  6. Step 6: Final answer
    x = 17,314.81

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.