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Finding the Third Proportional to 420,406 and 634,981

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Solution

The third proportional to 420,406 and 634,981 is: 959,074.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,406 : 634,981 = 634,981 : x
  2. Step 2: Convert to fraction form
    420,406/634,981 = 634,981/x
  3. Step 3: Cross multiply
    420,406x = 634,981 × 634,981
  4. Step 4: Simplify right side
    420,406x = 403,200,870,361
  5. Step 5: Solve for x
    x = 403,200,870,361/420,406
  6. Step 6: Final answer
    x = 959,074.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.