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Finding the Third Proportional to 123,945 and 255,228

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Solution

The third proportional to 123,945 and 255,228 is: 525,566.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,945 : 255,228 = 255,228 : x
  2. Step 2: Convert to fraction form
    123,945/255,228 = 255,228/x
  3. Step 3: Cross multiply
    123,945x = 255,228 × 255,228
  4. Step 4: Simplify right side
    123,945x = 65,141,331,984
  5. Step 5: Solve for x
    x = 65,141,331,984/123,945
  6. Step 6: Final answer
    x = 525,566.44

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.