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Finding the Third Proportional to 140,212.13 and 305,802

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Solution

The third proportional to 140,212.13 and 305,802 is: 666,952.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,212.13 : 305,802 = 305,802 : x
  2. Step 2: Convert to fraction form
    140,212.13/305,802 = 305,802/x
  3. Step 3: Cross multiply
    140,212.13x = 305,802 × 305,802
  4. Step 4: Simplify right side
    140,212.13x = 93,514,863,204
  5. Step 5: Solve for x
    x = 93,514,863,204/140,212.13
  6. Step 6: Final answer
    x = 666,952.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.