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Finding the Third Proportional to 427,286 and 664,239

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Solution

The third proportional to 427,286 and 664,239 is: 1,032,595.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,286 : 664,239 = 664,239 : x
  2. Step 2: Convert to fraction form
    427,286/664,239 = 664,239/x
  3. Step 3: Cross multiply
    427,286x = 664,239 × 664,239
  4. Step 4: Simplify right side
    427,286x = 441,213,449,121
  5. Step 5: Solve for x
    x = 441,213,449,121/427,286
  6. Step 6: Final answer
    x = 1,032,595.14

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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.