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Finding the Third Proportional to 684.15 and 1,487.90

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Solution

The third proportional to 684.15 and 1,487.90 is: 3,235.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.15 : 1,487.90 = 1,487.90 : x
  2. Step 2: Convert to fraction form
    684.15/1,487.90 = 1,487.90/x
  3. Step 3: Cross multiply
    684.15x = 1,487.90 × 1,487.90
  4. Step 4: Simplify right side
    684.15x = 2,213,847.57
  5. Step 5: Solve for x
    x = 2,213,847.57/684.15
  6. Step 6: Final answer
    x = 3,235.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.