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Finding the Third Proportional to 143,871.19 and 214,917.05

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Solution

The third proportional to 143,871.19 and 214,917.05 is: 321,046.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,871.19 : 214,917.05 = 214,917.05 : x
  2. Step 2: Convert to fraction form
    143,871.19/214,917.05 = 214,917.05/x
  3. Step 3: Cross multiply
    143,871.19x = 214,917.05 × 214,917.05
  4. Step 4: Simplify right side
    143,871.19x = 46,189,337,037.47
  5. Step 5: Solve for x
    x = 46,189,337,037.47/143,871.19
  6. Step 6: Final answer
    x = 321,046.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.