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Finding the Third Proportional to 449,432 and 989,248

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Solution

The third proportional to 449,432 and 989,248 is: 2,177,440.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,432 : 989,248 = 989,248 : x
  2. Step 2: Convert to fraction form
    449,432/989,248 = 989,248/x
  3. Step 3: Cross multiply
    449,432x = 989,248 × 989,248
  4. Step 4: Simplify right side
    449,432x = 978,611,605,504
  5. Step 5: Solve for x
    x = 978,611,605,504/449,432
  6. Step 6: Final answer
    x = 2,177,440.87

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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.