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Finding the Third Proportional to 617,400 and 1,251,972

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Solution

The third proportional to 617,400 and 1,251,972 is: 2,538,765.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,400 : 1,251,972 = 1,251,972 : x
  2. Step 2: Convert to fraction form
    617,400/1,251,972 = 1,251,972/x
  3. Step 3: Cross multiply
    617,400x = 1,251,972 × 1,251,972
  4. Step 4: Simplify right side
    617,400x = 1,567,433,888,784
  5. Step 5: Solve for x
    x = 1,567,433,888,784/617,400
  6. Step 6: Final answer
    x = 2,538,765.61

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.