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Finding the Third Proportional to 386,386 and 568,398

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Solution

The third proportional to 386,386 and 568,398 is: 836,149.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,386 : 568,398 = 568,398 : x
  2. Step 2: Convert to fraction form
    386,386/568,398 = 568,398/x
  3. Step 3: Cross multiply
    386,386x = 568,398 × 568,398
  4. Step 4: Simplify right side
    386,386x = 323,076,286,404
  5. Step 5: Solve for x
    x = 323,076,286,404/386,386
  6. Step 6: Final answer
    x = 836,149.05

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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.