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Finding the Third Proportional to 538,218 and 1,240,542

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Solution

The third proportional to 538,218 and 1,240,542 is: 2,859,332.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,218 : 1,240,542 = 1,240,542 : x
  2. Step 2: Convert to fraction form
    538,218/1,240,542 = 1,240,542/x
  3. Step 3: Cross multiply
    538,218x = 1,240,542 × 1,240,542
  4. Step 4: Simplify right side
    538,218x = 1,538,944,453,764
  5. Step 5: Solve for x
    x = 1,538,944,453,764/538,218
  6. Step 6: Final answer
    x = 2,859,332.94

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.