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Finding the Third Proportional to 207,320 and 447,720

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Solution

The third proportional to 207,320 and 447,720 is: 966,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,320 : 447,720 = 447,720 : x
  2. Step 2: Convert to fraction form
    207,320/447,720 = 447,720/x
  3. Step 3: Cross multiply
    207,320x = 447,720 × 447,720
  4. Step 4: Simplify right side
    207,320x = 200,453,198,400
  5. Step 5: Solve for x
    x = 200,453,198,400/207,320
  6. Step 6: Final answer
    x = 966,878.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.