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Finding the Third Proportional to 288,812 and 446,330

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Solution

The third proportional to 288,812 and 446,330 is: 689,758.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,812 : 446,330 = 446,330 : x
  2. Step 2: Convert to fraction form
    288,812/446,330 = 446,330/x
  3. Step 3: Cross multiply
    288,812x = 446,330 × 446,330
  4. Step 4: Simplify right side
    288,812x = 199,210,468,900
  5. Step 5: Solve for x
    x = 199,210,468,900/288,812
  6. Step 6: Final answer
    x = 689,758.28

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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.