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Finding the Third Proportional to 280,385 and 615,049

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Solution

The third proportional to 280,385 and 615,049 is: 1,349,163.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,385 : 615,049 = 615,049 : x
  2. Step 2: Convert to fraction form
    280,385/615,049 = 615,049/x
  3. Step 3: Cross multiply
    280,385x = 615,049 × 615,049
  4. Step 4: Simplify right side
    280,385x = 378,285,272,401
  5. Step 5: Solve for x
    x = 378,285,272,401/280,385
  6. Step 6: Final answer
    x = 1,349,163.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.