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Finding the Third Proportional to 342,342 and 454,356

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Solution

The third proportional to 342,342 and 454,356 is: 603,020.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,342 : 454,356 = 454,356 : x
  2. Step 2: Convert to fraction form
    342,342/454,356 = 454,356/x
  3. Step 3: Cross multiply
    342,342x = 454,356 × 454,356
  4. Step 4: Simplify right side
    342,342x = 206,439,374,736
  5. Step 5: Solve for x
    x = 206,439,374,736/342,342
  6. Step 6: Final answer
    x = 603,020.88

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.