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Finding the Third Proportional to 138,652 and 298,320

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Solution

The third proportional to 138,652 and 298,320 is: 641,857.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,652 : 298,320 = 298,320 : x
  2. Step 2: Convert to fraction form
    138,652/298,320 = 298,320/x
  3. Step 3: Cross multiply
    138,652x = 298,320 × 298,320
  4. Step 4: Simplify right side
    138,652x = 88,994,822,400
  5. Step 5: Solve for x
    x = 88,994,822,400/138,652
  6. Step 6: Final answer
    x = 641,857.47

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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.