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Finding the Third Proportional to 123,930 and 255,195.56

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Solution

The third proportional to 123,930 and 255,195.56 is: 525,496.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,930 : 255,195.56 = 255,195.56 : x
  2. Step 2: Convert to fraction form
    123,930/255,195.56 = 255,195.56/x
  3. Step 3: Cross multiply
    123,930x = 255,195.56 × 255,195.56
  4. Step 4: Simplify right side
    123,930x = 65,124,775,119.69
  5. Step 5: Solve for x
    x = 65,124,775,119.69/123,930
  6. Step 6: Final answer
    x = 525,496.45

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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.