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Finding the Third Proportional to 143,494 and 223,442

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Solution

The third proportional to 143,494 and 223,442 is: 347,933.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,494 : 223,442 = 223,442 : x
  2. Step 2: Convert to fraction form
    143,494/223,442 = 223,442/x
  3. Step 3: Cross multiply
    143,494x = 223,442 × 223,442
  4. Step 4: Simplify right side
    143,494x = 49,926,327,364
  5. Step 5: Solve for x
    x = 49,926,327,364/143,494
  6. Step 6: Final answer
    x = 347,933.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.