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Finding the Third Proportional to 120,265 and 261,023

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Solution

The third proportional to 120,265 and 261,023 is: 566,523.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,265 : 261,023 = 261,023 : x
  2. Step 2: Convert to fraction form
    120,265/261,023 = 261,023/x
  3. Step 3: Cross multiply
    120,265x = 261,023 × 261,023
  4. Step 4: Simplify right side
    120,265x = 68,133,006,529
  5. Step 5: Solve for x
    x = 68,133,006,529/120,265
  6. Step 6: Final answer
    x = 566,523.98

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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.