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Finding the Third Proportional to 418,367 and 664,851

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Solution

The third proportional to 418,367 and 664,851 is: 1,056,552.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,367 : 664,851 = 664,851 : x
  2. Step 2: Convert to fraction form
    418,367/664,851 = 664,851/x
  3. Step 3: Cross multiply
    418,367x = 664,851 × 664,851
  4. Step 4: Simplify right side
    418,367x = 442,026,852,201
  5. Step 5: Solve for x
    x = 442,026,852,201/418,367
  6. Step 6: Final answer
    x = 1,056,552.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.