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Finding the Third Proportional to 455,860 and 991,991

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Solution

The third proportional to 455,860 and 991,991 is: 2,158,658.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,860 : 991,991 = 991,991 : x
  2. Step 2: Convert to fraction form
    455,860/991,991 = 991,991/x
  3. Step 3: Cross multiply
    455,860x = 991,991 × 991,991
  4. Step 4: Simplify right side
    455,860x = 984,046,144,081
  5. Step 5: Solve for x
    x = 984,046,144,081/455,860
  6. Step 6: Final answer
    x = 2,158,658.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.