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Finding the Third Proportional to 120,724 and 262,439

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Solution

The third proportional to 120,724 and 262,439 is: 570,509.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,724 : 262,439 = 262,439 : x
  2. Step 2: Convert to fraction form
    120,724/262,439 = 262,439/x
  3. Step 3: Cross multiply
    120,724x = 262,439 × 262,439
  4. Step 4: Simplify right side
    120,724x = 68,874,228,721
  5. Step 5: Solve for x
    x = 68,874,228,721/120,724
  6. Step 6: Final answer
    x = 570,509.83

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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.