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Finding the Third Proportional to 289,518 and 447,400.50

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Solution

The third proportional to 289,518 and 447,400.50 is: 691,380.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,518 : 447,400.50 = 447,400.50 : x
  2. Step 2: Convert to fraction form
    289,518/447,400.50 = 447,400.50/x
  3. Step 3: Cross multiply
    289,518x = 447,400.50 × 447,400.50
  4. Step 4: Simplify right side
    289,518x = 200,167,207,400.25
  5. Step 5: Solve for x
    x = 200,167,207,400.25/289,518
  6. Step 6: Final answer
    x = 691,380.87

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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.