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Finding the Third Proportional to 416,128 and 628,565

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Solution

The third proportional to 416,128 and 628,565 is: 949,452.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,128 : 628,565 = 628,565 : x
  2. Step 2: Convert to fraction form
    416,128/628,565 = 628,565/x
  3. Step 3: Cross multiply
    416,128x = 628,565 × 628,565
  4. Step 4: Simplify right side
    416,128x = 395,093,959,225
  5. Step 5: Solve for x
    x = 395,093,959,225/416,128
  6. Step 6: Final answer
    x = 949,452.95

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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.