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Finding the Third Proportional to 122,827 and 266,390

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Solution

The third proportional to 122,827 and 266,390 is: 577,752.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,827 : 266,390 = 266,390 : x
  2. Step 2: Convert to fraction form
    122,827/266,390 = 266,390/x
  3. Step 3: Cross multiply
    122,827x = 266,390 × 266,390
  4. Step 4: Simplify right side
    122,827x = 70,963,632,100
  5. Step 5: Solve for x
    x = 70,963,632,100/122,827
  6. Step 6: Final answer
    x = 577,752.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.