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Finding the Third Proportional to 427,250 and 664,203

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Solution

The third proportional to 427,250 and 664,203 is: 1,032,570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,250 : 664,203 = 664,203 : x
  2. Step 2: Convert to fraction form
    427,250/664,203 = 664,203/x
  3. Step 3: Cross multiply
    427,250x = 664,203 × 664,203
  4. Step 4: Simplify right side
    427,250x = 441,165,625,209
  5. Step 5: Solve for x
    x = 441,165,625,209/427,250
  6. Step 6: Final answer
    x = 1,032,570.22

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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.