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Finding the Third Proportional to 122,372 and 251,330

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Solution

The third proportional to 122,372 and 251,330 is: 516,186.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,372 : 251,330 = 251,330 : x
  2. Step 2: Convert to fraction form
    122,372/251,330 = 251,330/x
  3. Step 3: Cross multiply
    122,372x = 251,330 × 251,330
  4. Step 4: Simplify right side
    122,372x = 63,166,768,900
  5. Step 5: Solve for x
    x = 63,166,768,900/122,372
  6. Step 6: Final answer
    x = 516,186.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.