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Finding the Third Proportional to 120,222.50 and 261,343

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Solution

The third proportional to 120,222.50 and 261,343 is: 568,114.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,222.50 : 261,343 = 261,343 : x
  2. Step 2: Convert to fraction form
    120,222.50/261,343 = 261,343/x
  3. Step 3: Cross multiply
    120,222.50x = 261,343 × 261,343
  4. Step 4: Simplify right side
    120,222.50x = 68,300,163,649
  5. Step 5: Solve for x
    x = 68,300,163,649/120,222.50
  6. Step 6: Final answer
    x = 568,114.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.