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Finding the Third Proportional to 121,566 and 261,861

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Solution

The third proportional to 121,566 and 261,861 is: 564,065.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,566 : 261,861 = 261,861 : x
  2. Step 2: Convert to fraction form
    121,566/261,861 = 261,861/x
  3. Step 3: Cross multiply
    121,566x = 261,861 × 261,861
  4. Step 4: Simplify right side
    121,566x = 68,571,183,321
  5. Step 5: Solve for x
    x = 68,571,183,321/121,566
  6. Step 6: Final answer
    x = 564,065.47

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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.