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Finding the Third Proportional to 120,271 and 261,037

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Solution

The third proportional to 120,271 and 261,037 is: 566,556.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,271 : 261,037 = 261,037 : x
  2. Step 2: Convert to fraction form
    120,271/261,037 = 261,037/x
  3. Step 3: Cross multiply
    120,271x = 261,037 × 261,037
  4. Step 4: Simplify right side
    120,271x = 68,140,315,369
  5. Step 5: Solve for x
    x = 68,140,315,369/120,271
  6. Step 6: Final answer
    x = 566,556.49

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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.