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Finding the Third Proportional to 455,887 and 992,045

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Solution

The third proportional to 455,887 and 992,045 is: 2,158,765.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,887 : 992,045 = 992,045 : x
  2. Step 2: Convert to fraction form
    455,887/992,045 = 992,045/x
  3. Step 3: Cross multiply
    455,887x = 992,045 × 992,045
  4. Step 4: Simplify right side
    455,887x = 984,153,282,025
  5. Step 5: Solve for x
    x = 984,153,282,025/455,887
  6. Step 6: Final answer
    x = 2,158,765.84

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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.