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Finding the Third Proportional to 121,746 and 261,600

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Solution

The third proportional to 121,746 and 261,600 is: 562,109.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,746 : 261,600 = 261,600 : x
  2. Step 2: Convert to fraction form
    121,746/261,600 = 261,600/x
  3. Step 3: Cross multiply
    121,746x = 261,600 × 261,600
  4. Step 4: Simplify right side
    121,746x = 68,434,560,000
  5. Step 5: Solve for x
    x = 68,434,560,000/121,746
  6. Step 6: Final answer
    x = 562,109.31

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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.