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Finding the Third Proportional to 123,518 and 255,772

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Solution

The third proportional to 123,518 and 255,772 is: 529,633.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,518 : 255,772 = 255,772 : x
  2. Step 2: Convert to fraction form
    123,518/255,772 = 255,772/x
  3. Step 3: Cross multiply
    123,518x = 255,772 × 255,772
  4. Step 4: Simplify right side
    123,518x = 65,419,315,984
  5. Step 5: Solve for x
    x = 65,419,315,984/123,518
  6. Step 6: Final answer
    x = 529,633.87

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.