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Finding the Third Proportional to 155,229 and 340,266

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Solution

The third proportional to 155,229 and 340,266 is: 745,871.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,229 : 340,266 = 340,266 : x
  2. Step 2: Convert to fraction form
    155,229/340,266 = 340,266/x
  3. Step 3: Cross multiply
    155,229x = 340,266 × 340,266
  4. Step 4: Simplify right side
    155,229x = 115,780,950,756
  5. Step 5: Solve for x
    x = 115,780,950,756/155,229
  6. Step 6: Final answer
    x = 745,871.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.