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Finding the Third Proportional to 207,120 and 444,448

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Solution

The third proportional to 207,120 and 444,448 is: 953,717.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,120 : 444,448 = 444,448 : x
  2. Step 2: Convert to fraction form
    207,120/444,448 = 444,448/x
  3. Step 3: Cross multiply
    207,120x = 444,448 × 444,448
  4. Step 4: Simplify right side
    207,120x = 197,534,024,704
  5. Step 5: Solve for x
    x = 197,534,024,704/207,120
  6. Step 6: Final answer
    x = 953,717.77

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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.