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Finding the Third Proportional to 119,978 and 262,555

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Solution

The third proportional to 119,978 and 262,555 is: 574,564.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,978 : 262,555 = 262,555 : x
  2. Step 2: Convert to fraction form
    119,978/262,555 = 262,555/x
  3. Step 3: Cross multiply
    119,978x = 262,555 × 262,555
  4. Step 4: Simplify right side
    119,978x = 68,935,128,025
  5. Step 5: Solve for x
    x = 68,935,128,025/119,978
  6. Step 6: Final answer
    x = 574,564.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.