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Finding the Third Proportional to 138,768 and 300,866

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Solution

The third proportional to 138,768 and 300,866 is: 652,314.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,768 : 300,866 = 300,866 : x
  2. Step 2: Convert to fraction form
    138,768/300,866 = 300,866/x
  3. Step 3: Cross multiply
    138,768x = 300,866 × 300,866
  4. Step 4: Simplify right side
    138,768x = 90,520,349,956
  5. Step 5: Solve for x
    x = 90,520,349,956/138,768
  6. Step 6: Final answer
    x = 652,314.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.