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Finding the Third Proportional to 392,452 and 847,642.75

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Solution

The third proportional to 392,452 and 847,642.75 is: 1,830,792.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,452 : 847,642.75 = 847,642.75 : x
  2. Step 2: Convert to fraction form
    392,452/847,642.75 = 847,642.75/x
  3. Step 3: Cross multiply
    392,452x = 847,642.75 × 847,642.75
  4. Step 4: Simplify right side
    392,452x = 718,498,231,627.56
  5. Step 5: Solve for x
    x = 718,498,231,627.56/392,452
  6. Step 6: Final answer
    x = 1,830,792.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.