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Finding the Third Proportional to 288,477 and 447,832

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Solution

The third proportional to 288,477 and 447,832 is: 695,214.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,477 : 447,832 = 447,832 : x
  2. Step 2: Convert to fraction form
    288,477/447,832 = 447,832/x
  3. Step 3: Cross multiply
    288,477x = 447,832 × 447,832
  4. Step 4: Simplify right side
    288,477x = 200,553,500,224
  5. Step 5: Solve for x
    x = 200,553,500,224/288,477
  6. Step 6: Final answer
    x = 695,214.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.