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Finding the Third Proportional to 3,076.88 and 4,614.38

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Solution

The third proportional to 3,076.88 and 4,614.38 is: 6,920.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.88 : 4,614.38 = 4,614.38 : x
  2. Step 2: Convert to fraction form
    3,076.88/4,614.38 = 4,614.38/x
  3. Step 3: Cross multiply
    3,076.88x = 4,614.38 × 4,614.38
  4. Step 4: Simplify right side
    3,076.88x = 21,292,456.64
  5. Step 5: Solve for x
    x = 21,292,456.64/3,076.88
  6. Step 6: Final answer
    x = 6,920.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.