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Finding the Third Proportional to 408,570.75 and 634,105.13

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Solution

The third proportional to 408,570.75 and 634,105.13 is: 984,136.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,570.75 : 634,105.13 = 634,105.13 : x
  2. Step 2: Convert to fraction form
    408,570.75/634,105.13 = 634,105.13/x
  3. Step 3: Cross multiply
    408,570.75x = 634,105.13 × 634,105.13
  4. Step 4: Simplify right side
    408,570.75x = 402,089,309,551.27
  5. Step 5: Solve for x
    x = 402,089,309,551.27/408,570.75
  6. Step 6: Final answer
    x = 984,136.31

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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.