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Finding the Third Proportional to 135,930 and 319,818

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Solution

The third proportional to 135,930 and 319,818 is: 752,472.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,930 : 319,818 = 319,818 : x
  2. Step 2: Convert to fraction form
    135,930/319,818 = 319,818/x
  3. Step 3: Cross multiply
    135,930x = 319,818 × 319,818
  4. Step 4: Simplify right side
    135,930x = 102,283,553,124
  5. Step 5: Solve for x
    x = 102,283,553,124/135,930
  6. Step 6: Final answer
    x = 752,472.25

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.