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Finding the Third Proportional to 123,121.27 and 265,238.30

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Solution

The third proportional to 123,121.27 and 265,238.30 is: 571,398.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,121.27 : 265,238.30 = 265,238.30 : x
  2. Step 2: Convert to fraction form
    123,121.27/265,238.30 = 265,238.30/x
  3. Step 3: Cross multiply
    123,121.27x = 265,238.30 × 265,238.30
  4. Step 4: Simplify right side
    123,121.27x = 70,351,354,129.15
  5. Step 5: Solve for x
    x = 70,351,354,129.15/123,121.27
  6. Step 6: Final answer
    x = 571,398.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.