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Finding the Third Proportional to 389,394 and 568,782

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Solution

The third proportional to 389,394 and 568,782 is: 830,811.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,394 : 568,782 = 568,782 : x
  2. Step 2: Convert to fraction form
    389,394/568,782 = 568,782/x
  3. Step 3: Cross multiply
    389,394x = 568,782 × 568,782
  4. Step 4: Simplify right side
    389,394x = 323,512,963,524
  5. Step 5: Solve for x
    x = 323,512,963,524/389,394
  6. Step 6: Final answer
    x = 830,811.37

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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.