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Finding the Third Proportional to 143,750 and 205,839

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Solution

The third proportional to 143,750 and 205,839 is: 294,745.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,750 : 205,839 = 205,839 : x
  2. Step 2: Convert to fraction form
    143,750/205,839 = 205,839/x
  3. Step 3: Cross multiply
    143,750x = 205,839 × 205,839
  4. Step 4: Simplify right side
    143,750x = 42,369,693,921
  5. Step 5: Solve for x
    x = 42,369,693,921/143,750
  6. Step 6: Final answer
    x = 294,745.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.