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Finding the Third Proportional to 143,853.75 and 215,782.88

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Solution

The third proportional to 143,853.75 and 215,782.88 is: 323,677.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,853.75 : 215,782.88 = 215,782.88 : x
  2. Step 2: Convert to fraction form
    143,853.75/215,782.88 = 215,782.88/x
  3. Step 3: Cross multiply
    143,853.75x = 215,782.88 × 215,782.88
  4. Step 4: Simplify right side
    143,853.75x = 46,562,249,143.27
  5. Step 5: Solve for x
    x = 46,562,249,143.27/143,853.75
  6. Step 6: Final answer
    x = 323,677.69

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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.