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Finding the Third Proportional to 404,388 and 634,311

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Solution

The third proportional to 404,388 and 634,311 is: 994,961.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,388 : 634,311 = 634,311 : x
  2. Step 2: Convert to fraction form
    404,388/634,311 = 634,311/x
  3. Step 3: Cross multiply
    404,388x = 634,311 × 634,311
  4. Step 4: Simplify right side
    404,388x = 402,350,444,721
  5. Step 5: Solve for x
    x = 402,350,444,721/404,388
  6. Step 6: Final answer
    x = 994,961.39

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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.