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Finding the Third Proportional to 421,912 and 634,660

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Solution

The third proportional to 421,912 and 634,660 is: 954,685.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,912 : 634,660 = 634,660 : x
  2. Step 2: Convert to fraction form
    421,912/634,660 = 634,660/x
  3. Step 3: Cross multiply
    421,912x = 634,660 × 634,660
  4. Step 4: Simplify right side
    421,912x = 402,793,315,600
  5. Step 5: Solve for x
    x = 402,793,315,600/421,912
  6. Step 6: Final answer
    x = 954,685.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.