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Finding the Third Proportional to 398,180 and 859,701

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Solution

The third proportional to 398,180 and 859,701 is: 1,856,160.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,180 : 859,701 = 859,701 : x
  2. Step 2: Convert to fraction form
    398,180/859,701 = 859,701/x
  3. Step 3: Cross multiply
    398,180x = 859,701 × 859,701
  4. Step 4: Simplify right side
    398,180x = 739,085,809,401
  5. Step 5: Solve for x
    x = 739,085,809,401/398,180
  6. Step 6: Final answer
    x = 1,856,160.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.