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Finding the Third Proportional to 387,826 and 568,971

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Solution

The third proportional to 387,826 and 568,971 is: 834,724.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,826 : 568,971 = 568,971 : x
  2. Step 2: Convert to fraction form
    387,826/568,971 = 568,971/x
  3. Step 3: Cross multiply
    387,826x = 568,971 × 568,971
  4. Step 4: Simplify right side
    387,826x = 323,727,998,841
  5. Step 5: Solve for x
    x = 323,727,998,841/387,826
  6. Step 6: Final answer
    x = 834,724.85

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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.