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Finding the Third Proportional to 109,377 and 227,485

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Solution

The third proportional to 109,377 and 227,485 is: 473,128.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,377 : 227,485 = 227,485 : x
  2. Step 2: Convert to fraction form
    109,377/227,485 = 227,485/x
  3. Step 3: Cross multiply
    109,377x = 227,485 × 227,485
  4. Step 4: Simplify right side
    109,377x = 51,749,425,225
  5. Step 5: Solve for x
    x = 51,749,425,225/109,377
  6. Step 6: Final answer
    x = 473,128.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.