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Finding the Third Proportional to 513,238 and 1,236,439

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Solution

The third proportional to 513,238 and 1,236,439 is: 2,978,698.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,238 : 1,236,439 = 1,236,439 : x
  2. Step 2: Convert to fraction form
    513,238/1,236,439 = 1,236,439/x
  3. Step 3: Cross multiply
    513,238x = 1,236,439 × 1,236,439
  4. Step 4: Simplify right side
    513,238x = 1,528,781,400,721
  5. Step 5: Solve for x
    x = 1,528,781,400,721/513,238
  6. Step 6: Final answer
    x = 2,978,698.77

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.