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Finding the Third Proportional to 396,540 and 565,284

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Solution

The third proportional to 396,540 and 565,284 is: 805,835.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,540 : 565,284 = 565,284 : x
  2. Step 2: Convert to fraction form
    396,540/565,284 = 565,284/x
  3. Step 3: Cross multiply
    396,540x = 565,284 × 565,284
  4. Step 4: Simplify right side
    396,540x = 319,546,000,656
  5. Step 5: Solve for x
    x = 319,546,000,656/396,540
  6. Step 6: Final answer
    x = 805,835.48

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.