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Finding the Third Proportional to 138,519 and 298,224

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Solution

The third proportional to 138,519 and 298,224 is: 642,060.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,519 : 298,224 = 298,224 : x
  2. Step 2: Convert to fraction form
    138,519/298,224 = 298,224/x
  3. Step 3: Cross multiply
    138,519x = 298,224 × 298,224
  4. Step 4: Simplify right side
    138,519x = 88,937,554,176
  5. Step 5: Solve for x
    x = 88,937,554,176/138,519
  6. Step 6: Final answer
    x = 642,060.33

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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.