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Finding the Third Proportional to 140,616.75 and 309,370.88

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Solution

The third proportional to 140,616.75 and 309,370.88 is: 680,646.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,616.75 : 309,370.88 = 309,370.88 : x
  2. Step 2: Convert to fraction form
    140,616.75/309,370.88 = 309,370.88/x
  3. Step 3: Cross multiply
    140,616.75x = 309,370.88 × 309,370.88
  4. Step 4: Simplify right side
    140,616.75x = 95,710,338,298.27
  5. Step 5: Solve for x
    x = 95,710,338,298.27/140,616.75
  6. Step 6: Final answer
    x = 680,646.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.