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Finding the Third Proportional to 1,487.32 and 3,179.74

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Solution

The third proportional to 1,487.32 and 3,179.74 is: 6,797.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.32 : 3,179.74 = 3,179.74 : x
  2. Step 2: Convert to fraction form
    1,487.32/3,179.74 = 3,179.74/x
  3. Step 3: Cross multiply
    1,487.32x = 3,179.74 × 3,179.74
  4. Step 4: Simplify right side
    1,487.32x = 10,110,760.38
  5. Step 5: Solve for x
    x = 10,110,760.38/1,487.32
  6. Step 6: Final answer
    x = 6,797.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.