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Finding the Third Proportional to 386,372 and 568,381

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Solution

The third proportional to 386,372 and 568,381 is: 836,129.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,372 : 568,381 = 568,381 : x
  2. Step 2: Convert to fraction form
    386,372/568,381 = 568,381/x
  3. Step 3: Cross multiply
    386,372x = 568,381 × 568,381
  4. Step 4: Simplify right side
    386,372x = 323,056,961,161
  5. Step 5: Solve for x
    x = 323,056,961,161/386,372
  6. Step 6: Final answer
    x = 836,129.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.