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Finding the Third Proportional to 338,663.75 and 464,400.38

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Solution

The third proportional to 338,663.75 and 464,400.38 is: 636,819.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,663.75 : 464,400.38 = 464,400.38 : x
  2. Step 2: Convert to fraction form
    338,663.75/464,400.38 = 464,400.38/x
  3. Step 3: Cross multiply
    338,663.75x = 464,400.38 × 464,400.38
  4. Step 4: Simplify right side
    338,663.75x = 215,667,708,300.14
  5. Step 5: Solve for x
    x = 215,667,708,300.14/338,663.75
  6. Step 6: Final answer
    x = 636,819.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.