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Finding the Third Proportional to 380,587 and 828,979

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Solution

The third proportional to 380,587 and 828,979 is: 1,805,648.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,587 : 828,979 = 828,979 : x
  2. Step 2: Convert to fraction form
    380,587/828,979 = 828,979/x
  3. Step 3: Cross multiply
    380,587x = 828,979 × 828,979
  4. Step 4: Simplify right side
    380,587x = 687,206,182,441
  5. Step 5: Solve for x
    x = 687,206,182,441/380,587
  6. Step 6: Final answer
    x = 1,805,648.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.