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Finding the Third Proportional to 207,872 and 448,960

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Solution

The third proportional to 207,872 and 448,960 is: 969,659.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,872 : 448,960 = 448,960 : x
  2. Step 2: Convert to fraction form
    207,872/448,960 = 448,960/x
  3. Step 3: Cross multiply
    207,872x = 448,960 × 448,960
  4. Step 4: Simplify right side
    207,872x = 201,565,081,600
  5. Step 5: Solve for x
    x = 201,565,081,600/207,872
  6. Step 6: Final answer
    x = 969,659.61

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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.