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Finding the Third Proportional to 122,560 and 252,784

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Solution

The third proportional to 122,560 and 252,784 is: 521,375.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,560 : 252,784 = 252,784 : x
  2. Step 2: Convert to fraction form
    122,560/252,784 = 252,784/x
  3. Step 3: Cross multiply
    122,560x = 252,784 × 252,784
  4. Step 4: Simplify right side
    122,560x = 63,899,750,656
  5. Step 5: Solve for x
    x = 63,899,750,656/122,560
  6. Step 6: Final answer
    x = 521,375.25

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.