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Finding the Third Proportional to 386,375 and 568,389

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Solution

The third proportional to 386,375 and 568,389 is: 836,146.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,375 : 568,389 = 568,389 : x
  2. Step 2: Convert to fraction form
    386,375/568,389 = 568,389/x
  3. Step 3: Cross multiply
    386,375x = 568,389 × 568,389
  4. Step 4: Simplify right side
    386,375x = 323,066,055,321
  5. Step 5: Solve for x
    x = 323,066,055,321/386,375
  6. Step 6: Final answer
    x = 836,146.37

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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.