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Finding the Third Proportional to 120,272.50 and 261,035

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Solution

The third proportional to 120,272.50 and 261,035 is: 566,540.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,272.50 : 261,035 = 261,035 : x
  2. Step 2: Convert to fraction form
    120,272.50/261,035 = 261,035/x
  3. Step 3: Cross multiply
    120,272.50x = 261,035 × 261,035
  4. Step 4: Simplify right side
    120,272.50x = 68,139,271,225
  5. Step 5: Solve for x
    x = 68,139,271,225/120,272.50
  6. Step 6: Final answer
    x = 566,540.74

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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.