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Finding the Third Proportional to 3,082.88 and 4,606.13

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Solution

The third proportional to 3,082.88 and 4,606.13 is: 6,882.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.88 : 4,606.13 = 4,606.13 : x
  2. Step 2: Convert to fraction form
    3,082.88/4,606.13 = 4,606.13/x
  3. Step 3: Cross multiply
    3,082.88x = 4,606.13 × 4,606.13
  4. Step 4: Simplify right side
    3,082.88x = 21,216,387.52
  5. Step 5: Solve for x
    x = 21,216,387.52/3,082.88
  6. Step 6: Final answer
    x = 6,882.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.