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Finding the Third Proportional to 140,204.25 and 211,979.25

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Solution

The third proportional to 140,204.25 and 211,979.25 is: 320,498.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,204.25 : 211,979.25 = 211,979.25 : x
  2. Step 2: Convert to fraction form
    140,204.25/211,979.25 = 211,979.25/x
  3. Step 3: Cross multiply
    140,204.25x = 211,979.25 × 211,979.25
  4. Step 4: Simplify right side
    140,204.25x = 44,935,202,430.56
  5. Step 5: Solve for x
    x = 44,935,202,430.56/140,204.25
  6. Step 6: Final answer
    x = 320,498.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.