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Finding the Third Proportional to 227,340 and 355,845

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Solution

The third proportional to 227,340 and 355,845 is: 556,988.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,340 : 355,845 = 355,845 : x
  2. Step 2: Convert to fraction form
    227,340/355,845 = 355,845/x
  3. Step 3: Cross multiply
    227,340x = 355,845 × 355,845
  4. Step 4: Simplify right side
    227,340x = 126,625,664,025
  5. Step 5: Solve for x
    x = 126,625,664,025/227,340
  6. Step 6: Final answer
    x = 556,988.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.