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Finding the Third Proportional to 455,728 and 997,226

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Solution

The third proportional to 455,728 and 997,226 is: 2,182,134.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,728 : 997,226 = 997,226 : x
  2. Step 2: Convert to fraction form
    455,728/997,226 = 997,226/x
  3. Step 3: Cross multiply
    455,728x = 997,226 × 997,226
  4. Step 4: Simplify right side
    455,728x = 994,459,695,076
  5. Step 5: Solve for x
    x = 994,459,695,076/455,728
  6. Step 6: Final answer
    x = 2,182,134.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.