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Finding the Third Proportional to 280,471 and 617,035

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Solution

The third proportional to 280,471 and 617,035 is: 1,357,474.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,471 : 617,035 = 617,035 : x
  2. Step 2: Convert to fraction form
    280,471/617,035 = 617,035/x
  3. Step 3: Cross multiply
    280,471x = 617,035 × 617,035
  4. Step 4: Simplify right side
    280,471x = 380,732,191,225
  5. Step 5: Solve for x
    x = 380,732,191,225/280,471
  6. Step 6: Final answer
    x = 1,357,474.36

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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.