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Finding the Third Proportional to 210,871 and 454,958

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Solution

The third proportional to 210,871 and 454,958 is: 981,580.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,871 : 454,958 = 454,958 : x
  2. Step 2: Convert to fraction form
    210,871/454,958 = 454,958/x
  3. Step 3: Cross multiply
    210,871x = 454,958 × 454,958
  4. Step 4: Simplify right side
    210,871x = 206,986,781,764
  5. Step 5: Solve for x
    x = 206,986,781,764/210,871
  6. Step 6: Final answer
    x = 981,580.12

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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.