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Finding the Third Proportional to 125,760 and 270,243

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Solution

The third proportional to 125,760 and 270,243 is: 580,719.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,760 : 270,243 = 270,243 : x
  2. Step 2: Convert to fraction form
    125,760/270,243 = 270,243/x
  3. Step 3: Cross multiply
    125,760x = 270,243 × 270,243
  4. Step 4: Simplify right side
    125,760x = 73,031,279,049
  5. Step 5: Solve for x
    x = 73,031,279,049/125,760
  6. Step 6: Final answer
    x = 580,719.46

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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.