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Finding the Third Proportional to 117,784 and 252,400

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Solution

The third proportional to 117,784 and 252,400 is: 540,869.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,784 : 252,400 = 252,400 : x
  2. Step 2: Convert to fraction form
    117,784/252,400 = 252,400/x
  3. Step 3: Cross multiply
    117,784x = 252,400 × 252,400
  4. Step 4: Simplify right side
    117,784x = 63,705,760,000
  5. Step 5: Solve for x
    x = 63,705,760,000/117,784
  6. Step 6: Final answer
    x = 540,869.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.