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Finding the Third Proportional to 207,781 and 447,342

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Solution

The third proportional to 207,781 and 447,342 is: 963,104.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,781 : 447,342 = 447,342 : x
  2. Step 2: Convert to fraction form
    207,781/447,342 = 447,342/x
  3. Step 3: Cross multiply
    207,781x = 447,342 × 447,342
  4. Step 4: Simplify right side
    207,781x = 200,114,864,964
  5. Step 5: Solve for x
    x = 200,114,864,964/207,781
  6. Step 6: Final answer
    x = 963,104.74

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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.