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Finding the Third Proportional to 280,147 and 420,508

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Solution

The third proportional to 280,147 and 420,508 is: 631,193.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,147 : 420,508 = 420,508 : x
  2. Step 2: Convert to fraction form
    280,147/420,508 = 420,508/x
  3. Step 3: Cross multiply
    280,147x = 420,508 × 420,508
  4. Step 4: Simplify right side
    280,147x = 176,826,978,064
  5. Step 5: Solve for x
    x = 176,826,978,064/280,147
  6. Step 6: Final answer
    x = 631,193.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.