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Finding the Third Proportional to 280,469 and 617,031

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Solution

The third proportional to 280,469 and 617,031 is: 1,357,466.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,469 : 617,031 = 617,031 : x
  2. Step 2: Convert to fraction form
    280,469/617,031 = 617,031/x
  3. Step 3: Cross multiply
    280,469x = 617,031 × 617,031
  4. Step 4: Simplify right side
    280,469x = 380,727,254,961
  5. Step 5: Solve for x
    x = 380,727,254,961/280,469
  6. Step 6: Final answer
    x = 1,357,466.44

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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.