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Finding the Third Proportional to 138,058 and 297,864

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Solution

The third proportional to 138,058 and 297,864 is: 642,649.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,058 : 297,864 = 297,864 : x
  2. Step 2: Convert to fraction form
    138,058/297,864 = 297,864/x
  3. Step 3: Cross multiply
    138,058x = 297,864 × 297,864
  4. Step 4: Simplify right side
    138,058x = 88,722,962,496
  5. Step 5: Solve for x
    x = 88,722,962,496/138,058
  6. Step 6: Final answer
    x = 642,649.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.