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Finding the Third Proportional to 143,805 and 217,719

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Solution

The third proportional to 143,805 and 217,719 is: 329,623.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,805 : 217,719 = 217,719 : x
  2. Step 2: Convert to fraction form
    143,805/217,719 = 217,719/x
  3. Step 3: Cross multiply
    143,805x = 217,719 × 217,719
  4. Step 4: Simplify right side
    143,805x = 47,401,562,961
  5. Step 5: Solve for x
    x = 47,401,562,961/143,805
  6. Step 6: Final answer
    x = 329,623.89

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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.