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Finding the Third Proportional to 210,878 and 454,972

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Solution

The third proportional to 210,878 and 454,972 is: 981,607.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,878 : 454,972 = 454,972 : x
  2. Step 2: Convert to fraction form
    210,878/454,972 = 454,972/x
  3. Step 3: Cross multiply
    210,878x = 454,972 × 454,972
  4. Step 4: Simplify right side
    210,878x = 206,999,520,784
  5. Step 5: Solve for x
    x = 206,999,520,784/210,878
  6. Step 6: Final answer
    x = 981,607.95

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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.