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Finding the Third Proportional to 378,684 and 568,998

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Solution

The third proportional to 378,684 and 568,998 is: 854,957.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,684 : 568,998 = 568,998 : x
  2. Step 2: Convert to fraction form
    378,684/568,998 = 568,998/x
  3. Step 3: Cross multiply
    378,684x = 568,998 × 568,998
  4. Step 4: Simplify right side
    378,684x = 323,758,724,004
  5. Step 5: Solve for x
    x = 323,758,724,004/378,684
  6. Step 6: Final answer
    x = 854,957.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.