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Finding the Third Proportional to 398,466 and 859,884

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Solution

The third proportional to 398,466 and 859,884 is: 1,855,617.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,466 : 859,884 = 859,884 : x
  2. Step 2: Convert to fraction form
    398,466/859,884 = 859,884/x
  3. Step 3: Cross multiply
    398,466x = 859,884 × 859,884
  4. Step 4: Simplify right side
    398,466x = 739,400,493,456
  5. Step 5: Solve for x
    x = 739,400,493,456/398,466
  6. Step 6: Final answer
    x = 1,855,617.53

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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.