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Finding the Third Proportional to 288,871 and 449,049

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Solution

The third proportional to 288,871 and 449,049 is: 698,045.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,871 : 449,049 = 449,049 : x
  2. Step 2: Convert to fraction form
    288,871/449,049 = 449,049/x
  3. Step 3: Cross multiply
    288,871x = 449,049 × 449,049
  4. Step 4: Simplify right side
    288,871x = 201,645,004,401
  5. Step 5: Solve for x
    x = 201,645,004,401/288,871
  6. Step 6: Final answer
    x = 698,045.16

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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.