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Finding the Third Proportional to 207,814 and 447,685

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Solution

The third proportional to 207,814 and 447,685 is: 964,429.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,814 : 447,685 = 447,685 : x
  2. Step 2: Convert to fraction form
    207,814/447,685 = 447,685/x
  3. Step 3: Cross multiply
    207,814x = 447,685 × 447,685
  4. Step 4: Simplify right side
    207,814x = 200,421,859,225
  5. Step 5: Solve for x
    x = 200,421,859,225/207,814
  6. Step 6: Final answer
    x = 964,429.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.