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Finding the Third Proportional to 207,726 and 454,980

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Solution

The third proportional to 207,726 and 454,980 is: 996,537.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,726 : 454,980 = 454,980 : x
  2. Step 2: Convert to fraction form
    207,726/454,980 = 454,980/x
  3. Step 3: Cross multiply
    207,726x = 454,980 × 454,980
  4. Step 4: Simplify right side
    207,726x = 207,006,800,400
  5. Step 5: Solve for x
    x = 207,006,800,400/207,726
  6. Step 6: Final answer
    x = 996,537.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.