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Finding the Third Proportional to 207,782 and 454,978

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Solution

The third proportional to 207,782 and 454,978 is: 996,260.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,782 : 454,978 = 454,978 : x
  2. Step 2: Convert to fraction form
    207,782/454,978 = 454,978/x
  3. Step 3: Cross multiply
    207,782x = 454,978 × 454,978
  4. Step 4: Simplify right side
    207,782x = 207,004,980,484
  5. Step 5: Solve for x
    x = 207,004,980,484/207,782
  6. Step 6: Final answer
    x = 996,260.41

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