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Finding the Third Proportional to 414,858.38 and 638,575.31

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Solution

The third proportional to 414,858.38 and 638,575.31 is: 982,934.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,858.38 : 638,575.31 = 638,575.31 : x
  2. Step 2: Convert to fraction form
    414,858.38/638,575.31 = 638,575.31/x
  3. Step 3: Cross multiply
    414,858.38x = 638,575.31 × 638,575.31
  4. Step 4: Simplify right side
    414,858.38x = 407,778,429,734.47
  5. Step 5: Solve for x
    x = 407,778,429,734.47/414,858.38
  6. Step 6: Final answer
    x = 982,934.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.