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Finding the Third Proportional to 287,244 and 617,134

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Solution

The third proportional to 287,244 and 617,134 is: 1,325,891.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,244 : 617,134 = 617,134 : x
  2. Step 2: Convert to fraction form
    287,244/617,134 = 617,134/x
  3. Step 3: Cross multiply
    287,244x = 617,134 × 617,134
  4. Step 4: Simplify right side
    287,244x = 380,854,373,956
  5. Step 5: Solve for x
    x = 380,854,373,956/287,244
  6. Step 6: Final answer
    x = 1,325,891.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.