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Finding the Third Proportional to 423.43 and 611.61

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Solution

The third proportional to 423.43 and 611.61 is: 883.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.43 : 611.61 = 611.61 : x
  2. Step 2: Convert to fraction form
    423.43/611.61 = 611.61/x
  3. Step 3: Cross multiply
    423.43x = 611.61 × 611.61
  4. Step 4: Simplify right side
    423.43x = 374,070.81
  5. Step 5: Solve for x
    x = 374,070.81/423.43
  6. Step 6: Final answer
    x = 883.43

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.