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Finding the Third Proportional to 381,290 and 828,988

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Solution

The third proportional to 381,290 and 828,988 is: 1,802,358.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,290 : 828,988 = 828,988 : x
  2. Step 2: Convert to fraction form
    381,290/828,988 = 828,988/x
  3. Step 3: Cross multiply
    381,290x = 828,988 × 828,988
  4. Step 4: Simplify right side
    381,290x = 687,221,104,144
  5. Step 5: Solve for x
    x = 687,221,104,144/381,290
  6. Step 6: Final answer
    x = 1,802,358.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.