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Finding the Third Proportional to 143,396 and 222,764

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Solution

The third proportional to 143,396 and 222,764 is: 346,061.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,396 : 222,764 = 222,764 : x
  2. Step 2: Convert to fraction form
    143,396/222,764 = 222,764/x
  3. Step 3: Cross multiply
    143,396x = 222,764 × 222,764
  4. Step 4: Simplify right side
    143,396x = 49,623,799,696
  5. Step 5: Solve for x
    x = 49,623,799,696/143,396
  6. Step 6: Final answer
    x = 346,061.25

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