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Finding the Third Proportional to 143,858 and 217,786

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Solution

The third proportional to 143,858 and 217,786 is: 329,705.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,858 : 217,786 = 217,786 : x
  2. Step 2: Convert to fraction form
    143,858/217,786 = 217,786/x
  3. Step 3: Cross multiply
    143,858x = 217,786 × 217,786
  4. Step 4: Simplify right side
    143,858x = 47,430,741,796
  5. Step 5: Solve for x
    x = 47,430,741,796/143,858
  6. Step 6: Final answer
    x = 329,705.28

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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.