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Finding the Third Proportional to 122,376 and 251,340

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Solution

The third proportional to 122,376 and 251,340 is: 516,210.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,376 : 251,340 = 251,340 : x
  2. Step 2: Convert to fraction form
    122,376/251,340 = 251,340/x
  3. Step 3: Cross multiply
    122,376x = 251,340 × 251,340
  4. Step 4: Simplify right side
    122,376x = 63,171,795,600
  5. Step 5: Solve for x
    x = 63,171,795,600/122,376
  6. Step 6: Final answer
    x = 516,210.66

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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.