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Finding the Third Proportional to 143,870 and 217,804

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Solution

The third proportional to 143,870 and 217,804 is: 329,732.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,870 : 217,804 = 217,804 : x
  2. Step 2: Convert to fraction form
    143,870/217,804 = 217,804/x
  3. Step 3: Cross multiply
    143,870x = 217,804 × 217,804
  4. Step 4: Simplify right side
    143,870x = 47,438,582,416
  5. Step 5: Solve for x
    x = 47,438,582,416/143,870
  6. Step 6: Final answer
    x = 329,732.28

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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.