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Finding the Third Proportional to 435,560 and 655,874

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Solution

The third proportional to 435,560 and 655,874 is: 987,626.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,560 : 655,874 = 655,874 : x
  2. Step 2: Convert to fraction form
    435,560/655,874 = 655,874/x
  3. Step 3: Cross multiply
    435,560x = 655,874 × 655,874
  4. Step 4: Simplify right side
    435,560x = 430,170,703,876
  5. Step 5: Solve for x
    x = 430,170,703,876/435,560
  6. Step 6: Final answer
    x = 987,626.74

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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.