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Finding the Third Proportional to 138,794 and 298,639

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Solution

The third proportional to 138,794 and 298,639 is: 642,572.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,794 : 298,639 = 298,639 : x
  2. Step 2: Convert to fraction form
    138,794/298,639 = 298,639/x
  3. Step 3: Cross multiply
    138,794x = 298,639 × 298,639
  4. Step 4: Simplify right side
    138,794x = 89,185,252,321
  5. Step 5: Solve for x
    x = 89,185,252,321/138,794
  6. Step 6: Final answer
    x = 642,572.82

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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.