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Finding the Third Proportional to 427,278 and 664,245

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Solution

The third proportional to 427,278 and 664,245 is: 1,032,633.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,278 : 664,245 = 664,245 : x
  2. Step 2: Convert to fraction form
    427,278/664,245 = 664,245/x
  3. Step 3: Cross multiply
    427,278x = 664,245 × 664,245
  4. Step 4: Simplify right side
    427,278x = 441,221,420,025
  5. Step 5: Solve for x
    x = 441,221,420,025/427,278
  6. Step 6: Final answer
    x = 1,032,633.13

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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.