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Finding the Third Proportional to 143,886.38 and 215,829.56

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Solution

The third proportional to 143,886.38 and 215,829.56 is: 323,744.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,886.38 : 215,829.56 = 215,829.56 : x
  2. Step 2: Convert to fraction form
    143,886.38/215,829.56 = 215,829.56/x
  3. Step 3: Cross multiply
    143,886.38x = 215,829.56 × 215,829.56
  4. Step 4: Simplify right side
    143,886.38x = 46,582,400,048.94
  5. Step 5: Solve for x
    x = 46,582,400,048.94/143,886.38
  6. Step 6: Final answer
    x = 323,744.34

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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.