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Finding the Third Proportional to 408,570 and 634,104

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Solution

The third proportional to 408,570 and 634,104 is: 984,134.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,570 : 634,104 = 634,104 : x
  2. Step 2: Convert to fraction form
    408,570/634,104 = 634,104/x
  3. Step 3: Cross multiply
    408,570x = 634,104 × 634,104
  4. Step 4: Simplify right side
    408,570x = 402,087,882,816
  5. Step 5: Solve for x
    x = 402,087,882,816/408,570
  6. Step 6: Final answer
    x = 984,134.62

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