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Finding the Third Proportional to 404,397 and 634,324

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Solution

The third proportional to 404,397 and 634,324 is: 994,980.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,397 : 634,324 = 634,324 : x
  2. Step 2: Convert to fraction form
    404,397/634,324 = 634,324/x
  3. Step 3: Cross multiply
    404,397x = 634,324 × 634,324
  4. Step 4: Simplify right side
    404,397x = 402,366,936,976
  5. Step 5: Solve for x
    x = 402,366,936,976/404,397
  6. Step 6: Final answer
    x = 994,980.02

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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.