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Finding the Third Proportional to 3,078.91 and 4,777.17

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Solution

The third proportional to 3,078.91 and 4,777.17 is: 7,412.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.91 : 4,777.17 = 4,777.17 : x
  2. Step 2: Convert to fraction form
    3,078.91/4,777.17 = 4,777.17/x
  3. Step 3: Cross multiply
    3,078.91x = 4,777.17 × 4,777.17
  4. Step 4: Simplify right side
    3,078.91x = 22,821,371.12
  5. Step 5: Solve for x
    x = 22,821,371.12/3,078.91
  6. Step 6: Final answer
    x = 7,412.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.