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Finding the Third Proportional to 408,249 and 634,734

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Solution

The third proportional to 408,249 and 634,734 is: 986,866.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,249 : 634,734 = 634,734 : x
  2. Step 2: Convert to fraction form
    408,249/634,734 = 634,734/x
  3. Step 3: Cross multiply
    408,249x = 634,734 × 634,734
  4. Step 4: Simplify right side
    408,249x = 402,887,250,756
  5. Step 5: Solve for x
    x = 402,887,250,756/408,249
  6. Step 6: Final answer
    x = 986,866.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.