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Finding the Third Proportional to 143,422 and 191,559

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Solution

The third proportional to 143,422 and 191,559 is: 255,852.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,422 : 191,559 = 191,559 : x
  2. Step 2: Convert to fraction form
    143,422/191,559 = 191,559/x
  3. Step 3: Cross multiply
    143,422x = 191,559 × 191,559
  4. Step 4: Simplify right side
    143,422x = 36,694,850,481
  5. Step 5: Solve for x
    x = 36,694,850,481/143,422
  6. Step 6: Final answer
    x = 255,852.31

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.