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Finding the Third Proportional to 619,299 and 985,284

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Solution

The third proportional to 619,299 and 985,284 is: 1,567,553.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,299 : 985,284 = 985,284 : x
  2. Step 2: Convert to fraction form
    619,299/985,284 = 985,284/x
  3. Step 3: Cross multiply
    619,299x = 985,284 × 985,284
  4. Step 4: Simplify right side
    619,299x = 970,784,560,656
  5. Step 5: Solve for x
    x = 970,784,560,656/619,299
  6. Step 6: Final answer
    x = 1,567,553.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.