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Finding the Third Proportional to 435,917 and 656,390

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Solution

The third proportional to 435,917 and 656,390 is: 988,371.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,917 : 656,390 = 656,390 : x
  2. Step 2: Convert to fraction form
    435,917/656,390 = 656,390/x
  3. Step 3: Cross multiply
    435,917x = 656,390 × 656,390
  4. Step 4: Simplify right side
    435,917x = 430,847,832,100
  5. Step 5: Solve for x
    x = 430,847,832,100/435,917
  6. Step 6: Final answer
    x = 988,371.25

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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.