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Finding the Third Proportional to 138,758 and 298,558

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Solution

The third proportional to 138,758 and 298,558 is: 642,390.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,758 : 298,558 = 298,558 : x
  2. Step 2: Convert to fraction form
    138,758/298,558 = 298,558/x
  3. Step 3: Cross multiply
    138,758x = 298,558 × 298,558
  4. Step 4: Simplify right side
    138,758x = 89,136,879,364
  5. Step 5: Solve for x
    x = 89,136,879,364/138,758
  6. Step 6: Final answer
    x = 642,390.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.