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Finding the Third Proportional to 3,132.42 and 7,774.10

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Solution

The third proportional to 3,132.42 and 7,774.10 is: 19,293.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.42 : 7,774.10 = 7,774.10 : x
  2. Step 2: Convert to fraction form
    3,132.42/7,774.10 = 7,774.10/x
  3. Step 3: Cross multiply
    3,132.42x = 7,774.10 × 7,774.10
  4. Step 4: Simplify right side
    3,132.42x = 60,436,655.10
  5. Step 5: Solve for x
    x = 60,436,655.10/3,132.42
  6. Step 6: Final answer
    x = 19,293.91

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.