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Finding the Third Proportional to 404,408 and 634,341

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Solution

The third proportional to 404,408 and 634,341 is: 995,006.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,408 : 634,341 = 634,341 : x
  2. Step 2: Convert to fraction form
    404,408/634,341 = 634,341/x
  3. Step 3: Cross multiply
    404,408x = 634,341 × 634,341
  4. Step 4: Simplify right side
    404,408x = 402,388,504,281
  5. Step 5: Solve for x
    x = 402,388,504,281/404,408
  6. Step 6: Final answer
    x = 995,006.29

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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.