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Finding the Third Proportional to 404,319 and 634,181

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Solution

The third proportional to 404,319 and 634,181 is: 994,723.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,319 : 634,181 = 634,181 : x
  2. Step 2: Convert to fraction form
    404,319/634,181 = 634,181/x
  3. Step 3: Cross multiply
    404,319x = 634,181 × 634,181
  4. Step 4: Simplify right side
    404,319x = 402,185,540,761
  5. Step 5: Solve for x
    x = 402,185,540,761/404,319
  6. Step 6: Final answer
    x = 994,723.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.