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Finding the Third Proportional to 385,533 and 835,422

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Solution

The third proportional to 385,533 and 835,422 is: 1,810,298.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,533 : 835,422 = 835,422 : x
  2. Step 2: Convert to fraction form
    385,533/835,422 = 835,422/x
  3. Step 3: Cross multiply
    385,533x = 835,422 × 835,422
  4. Step 4: Simplify right side
    385,533x = 697,929,918,084
  5. Step 5: Solve for x
    x = 697,929,918,084/385,533
  6. Step 6: Final answer
    x = 1,810,298.78

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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.