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Finding the Third Proportional to 449,981 and 697,661

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Solution

The third proportional to 449,981 and 697,661 is: 1,081,669.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,981 : 697,661 = 697,661 : x
  2. Step 2: Convert to fraction form
    449,981/697,661 = 697,661/x
  3. Step 3: Cross multiply
    449,981x = 697,661 × 697,661
  4. Step 4: Simplify right side
    449,981x = 486,730,870,921
  5. Step 5: Solve for x
    x = 486,730,870,921/449,981
  6. Step 6: Final answer
    x = 1,081,669.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.