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Finding the Third Proportional to 226,078 and 349,509

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Solution

The third proportional to 226,078 and 349,509 is: 540,329.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,078 : 349,509 = 349,509 : x
  2. Step 2: Convert to fraction form
    226,078/349,509 = 349,509/x
  3. Step 3: Cross multiply
    226,078x = 349,509 × 349,509
  4. Step 4: Simplify right side
    226,078x = 122,156,541,081
  5. Step 5: Solve for x
    x = 122,156,541,081/226,078
  6. Step 6: Final answer
    x = 540,329.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.