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Finding the Third Proportional to 121,763 and 261,634

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Solution

The third proportional to 121,763 and 261,634 is: 562,176.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,763 : 261,634 = 261,634 : x
  2. Step 2: Convert to fraction form
    121,763/261,634 = 261,634/x
  3. Step 3: Cross multiply
    121,763x = 261,634 × 261,634
  4. Step 4: Simplify right side
    121,763x = 68,452,349,956
  5. Step 5: Solve for x
    x = 68,452,349,956/121,763
  6. Step 6: Final answer
    x = 562,176.93

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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.