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Finding the Third Proportional to 389,395 and 568,781

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Solution

The third proportional to 389,395 and 568,781 is: 830,806.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,395 : 568,781 = 568,781 : x
  2. Step 2: Convert to fraction form
    389,395/568,781 = 568,781/x
  3. Step 3: Cross multiply
    389,395x = 568,781 × 568,781
  4. Step 4: Simplify right side
    389,395x = 323,511,825,961
  5. Step 5: Solve for x
    x = 323,511,825,961/389,395
  6. Step 6: Final answer
    x = 830,806.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.