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Finding the Third Proportional to 120,769 and 262,295

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Solution

The third proportional to 120,769 and 262,295 is: 569,671.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,769 : 262,295 = 262,295 : x
  2. Step 2: Convert to fraction form
    120,769/262,295 = 262,295/x
  3. Step 3: Cross multiply
    120,769x = 262,295 × 262,295
  4. Step 4: Simplify right side
    120,769x = 68,798,667,025
  5. Step 5: Solve for x
    x = 68,798,667,025/120,769
  6. Step 6: Final answer
    x = 569,671.58

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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.