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Finding the Third Proportional to 143,380.13 and 215,124.19

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Solution

The third proportional to 143,380.13 and 215,124.19 is: 322,767.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,380.13 : 215,124.19 = 215,124.19 : x
  2. Step 2: Convert to fraction form
    143,380.13/215,124.19 = 215,124.19/x
  3. Step 3: Cross multiply
    143,380.13x = 215,124.19 × 215,124.19
  4. Step 4: Simplify right side
    143,380.13x = 46,278,416,047.54
  5. Step 5: Solve for x
    x = 46,278,416,047.54/143,380.13
  6. Step 6: Final answer
    x = 322,767.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.