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Finding the Third Proportional to 305,908.88 and 340,354.13

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Solution

The third proportional to 305,908.88 and 340,354.13 is: 378,677.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,908.88 : 340,354.13 = 340,354.13 : x
  2. Step 2: Convert to fraction form
    305,908.88/340,354.13 = 340,354.13/x
  3. Step 3: Cross multiply
    305,908.88x = 340,354.13 × 340,354.13
  4. Step 4: Simplify right side
    305,908.88x = 115,840,930,404.52
  5. Step 5: Solve for x
    x = 115,840,930,404.52/305,908.88
  6. Step 6: Final answer
    x = 378,677.90

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.