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Finding the Third Proportional to 828,878 and 1,259,517

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Solution

The third proportional to 828,878 and 1,259,517 is: 1,913,892.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,878 : 1,259,517 = 1,259,517 : x
  2. Step 2: Convert to fraction form
    828,878/1,259,517 = 1,259,517/x
  3. Step 3: Cross multiply
    828,878x = 1,259,517 × 1,259,517
  4. Step 4: Simplify right side
    828,878x = 1,586,383,073,289
  5. Step 5: Solve for x
    x = 1,586,383,073,289/828,878
  6. Step 6: Final answer
    x = 1,913,892.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.