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Finding the Third Proportional to 121,615.50 and 261,213

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Solution

The third proportional to 121,615.50 and 261,213 is: 561,048.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,615.50 : 261,213 = 261,213 : x
  2. Step 2: Convert to fraction form
    121,615.50/261,213 = 261,213/x
  3. Step 3: Cross multiply
    121,615.50x = 261,213 × 261,213
  4. Step 4: Simplify right side
    121,615.50x = 68,232,231,369
  5. Step 5: Solve for x
    x = 68,232,231,369/121,615.50
  6. Step 6: Final answer
    x = 561,048.81

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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.