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Finding the Third Proportional to 210,474 and 454,617

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Solution

The third proportional to 210,474 and 454,617 is: 981,957.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,474 : 454,617 = 454,617 : x
  2. Step 2: Convert to fraction form
    210,474/454,617 = 454,617/x
  3. Step 3: Cross multiply
    210,474x = 454,617 × 454,617
  4. Step 4: Simplify right side
    210,474x = 206,676,616,689
  5. Step 5: Solve for x
    x = 206,676,616,689/210,474
  6. Step 6: Final answer
    x = 981,957.95

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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.