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Finding the Third Proportional to 143,398 and 222,767

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Solution

The third proportional to 143,398 and 222,767 is: 346,065.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,398 : 222,767 = 222,767 : x
  2. Step 2: Convert to fraction form
    143,398/222,767 = 222,767/x
  3. Step 3: Cross multiply
    143,398x = 222,767 × 222,767
  4. Step 4: Simplify right side
    143,398x = 49,625,136,289
  5. Step 5: Solve for x
    x = 49,625,136,289/143,398
  6. Step 6: Final answer
    x = 346,065.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.