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Finding the Third Proportional to 386,873 and 852,479

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Solution

The third proportional to 386,873 and 852,479 is: 1,878,447.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,873 : 852,479 = 852,479 : x
  2. Step 2: Convert to fraction form
    386,873/852,479 = 852,479/x
  3. Step 3: Cross multiply
    386,873x = 852,479 × 852,479
  4. Step 4: Simplify right side
    386,873x = 726,720,445,441
  5. Step 5: Solve for x
    x = 726,720,445,441/386,873
  6. Step 6: Final answer
    x = 1,878,447.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.