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Finding the Third Proportional to 210,872 and 454,960

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Solution

The third proportional to 210,872 and 454,960 is: 981,584.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,872 : 454,960 = 454,960 : x
  2. Step 2: Convert to fraction form
    210,872/454,960 = 454,960/x
  3. Step 3: Cross multiply
    210,872x = 454,960 × 454,960
  4. Step 4: Simplify right side
    210,872x = 206,988,601,600
  5. Step 5: Solve for x
    x = 206,988,601,600/210,872
  6. Step 6: Final answer
    x = 981,584.10

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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.