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Finding the Third Proportional to 448,668 and 988,380

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Solution

The third proportional to 448,668 and 988,380 is: 2,177,322.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,668 : 988,380 = 988,380 : x
  2. Step 2: Convert to fraction form
    448,668/988,380 = 988,380/x
  3. Step 3: Cross multiply
    448,668x = 988,380 × 988,380
  4. Step 4: Simplify right side
    448,668x = 976,895,024,400
  5. Step 5: Solve for x
    x = 976,895,024,400/448,668
  6. Step 6: Final answer
    x = 2,177,322.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.