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Finding the Third Proportional to 120,305 and 261,101

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Solution

The third proportional to 120,305 and 261,101 is: 566,674.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,305 : 261,101 = 261,101 : x
  2. Step 2: Convert to fraction form
    120,305/261,101 = 261,101/x
  3. Step 3: Cross multiply
    120,305x = 261,101 × 261,101
  4. Step 4: Simplify right side
    120,305x = 68,173,732,201
  5. Step 5: Solve for x
    x = 68,173,732,201/120,305
  6. Step 6: Final answer
    x = 566,674.14

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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.