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Finding the Third Proportional to 131,774 and 283,561

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Solution

The third proportional to 131,774 and 283,561 is: 610,187.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,774 : 283,561 = 283,561 : x
  2. Step 2: Convert to fraction form
    131,774/283,561 = 283,561/x
  3. Step 3: Cross multiply
    131,774x = 283,561 × 283,561
  4. Step 4: Simplify right side
    131,774x = 80,406,840,721
  5. Step 5: Solve for x
    x = 80,406,840,721/131,774
  6. Step 6: Final answer
    x = 610,187.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.