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Finding the Third Proportional to 399,195 and 634,854.38

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Solution

The third proportional to 399,195 and 634,854.38 is: 1,009,632.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,195 : 634,854.38 = 634,854.38 : x
  2. Step 2: Convert to fraction form
    399,195/634,854.38 = 634,854.38/x
  3. Step 3: Cross multiply
    399,195x = 634,854.38 × 634,854.38
  4. Step 4: Simplify right side
    399,195x = 403,040,077,456.64
  5. Step 5: Solve for x
    x = 403,040,077,456.64/399,195
  6. Step 6: Final answer
    x = 1,009,632.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.