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Finding the Third Proportional to 280,523 and 617,087

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Solution

The third proportional to 280,523 and 617,087 is: 1,357,451.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,523 : 617,087 = 617,087 : x
  2. Step 2: Convert to fraction form
    280,523/617,087 = 617,087/x
  3. Step 3: Cross multiply
    280,523x = 617,087 × 617,087
  4. Step 4: Simplify right side
    280,523x = 380,796,365,569
  5. Step 5: Solve for x
    x = 380,796,365,569/280,523
  6. Step 6: Final answer
    x = 1,357,451.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.