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Finding the Third Proportional to 398,294 and 859,975

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Solution

The third proportional to 398,294 and 859,975 is: 1,856,811.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,294 : 859,975 = 859,975 : x
  2. Step 2: Convert to fraction form
    398,294/859,975 = 859,975/x
  3. Step 3: Cross multiply
    398,294x = 859,975 × 859,975
  4. Step 4: Simplify right side
    398,294x = 739,557,000,625
  5. Step 5: Solve for x
    x = 739,557,000,625/398,294
  6. Step 6: Final answer
    x = 1,856,811.80

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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.