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Finding the Third Proportional to 3,078.28 and 4,508.16

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Solution

The third proportional to 3,078.28 and 4,508.16 is: 6,602.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.28 : 4,508.16 = 4,508.16 : x
  2. Step 2: Convert to fraction form
    3,078.28/4,508.16 = 4,508.16/x
  3. Step 3: Cross multiply
    3,078.28x = 4,508.16 × 4,508.16
  4. Step 4: Simplify right side
    3,078.28x = 20,323,472.77
  5. Step 5: Solve for x
    x = 20,323,472.77/3,078.28
  6. Step 6: Final answer
    x = 6,602.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.