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Finding the Third Proportional to 436,878 and 659,331

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Solution

The third proportional to 436,878 and 659,331 is: 995,054.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,878 : 659,331 = 659,331 : x
  2. Step 2: Convert to fraction form
    436,878/659,331 = 659,331/x
  3. Step 3: Cross multiply
    436,878x = 659,331 × 659,331
  4. Step 4: Simplify right side
    436,878x = 434,717,367,561
  5. Step 5: Solve for x
    x = 434,717,367,561/436,878
  6. Step 6: Final answer
    x = 995,054.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.