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Finding the Third Proportional to 458,928 and 988,176

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Solution

The third proportional to 458,928 and 988,176 is: 2,127,766.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,928 : 988,176 = 988,176 : x
  2. Step 2: Convert to fraction form
    458,928/988,176 = 988,176/x
  3. Step 3: Cross multiply
    458,928x = 988,176 × 988,176
  4. Step 4: Simplify right side
    458,928x = 976,491,806,976
  5. Step 5: Solve for x
    x = 976,491,806,976/458,928
  6. Step 6: Final answer
    x = 2,127,766.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.