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Finding the Third Proportional to 143,860 and 217,789

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Solution

The third proportional to 143,860 and 217,789 is: 329,709.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,860 : 217,789 = 217,789 : x
  2. Step 2: Convert to fraction form
    143,860/217,789 = 217,789/x
  3. Step 3: Cross multiply
    143,860x = 217,789 × 217,789
  4. Step 4: Simplify right side
    143,860x = 47,432,048,521
  5. Step 5: Solve for x
    x = 47,432,048,521/143,860
  6. Step 6: Final answer
    x = 329,709.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.