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Finding the Third Proportional to 449,416 and 989,216

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Solution

The third proportional to 449,416 and 989,216 is: 2,177,377.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,416 : 989,216 = 989,216 : x
  2. Step 2: Convert to fraction form
    449,416/989,216 = 989,216/x
  3. Step 3: Cross multiply
    449,416x = 989,216 × 989,216
  4. Step 4: Simplify right side
    449,416x = 978,548,294,656
  5. Step 5: Solve for x
    x = 978,548,294,656/449,416
  6. Step 6: Final answer
    x = 2,177,377.52

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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.