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Finding the Third Proportional to 389,393 and 568,778

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Solution

The third proportional to 389,393 and 568,778 is: 830,801.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,393 : 568,778 = 568,778 : x
  2. Step 2: Convert to fraction form
    389,393/568,778 = 568,778/x
  3. Step 3: Cross multiply
    389,393x = 568,778 × 568,778
  4. Step 4: Simplify right side
    389,393x = 323,508,413,284
  5. Step 5: Solve for x
    x = 323,508,413,284/389,393
  6. Step 6: Final answer
    x = 830,801.82

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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.