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Finding the Third Proportional to 207,783 and 454,979

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Solution

The third proportional to 207,783 and 454,979 is: 996,259.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,783 : 454,979 = 454,979 : x
  2. Step 2: Convert to fraction form
    207,783/454,979 = 454,979/x
  3. Step 3: Cross multiply
    207,783x = 454,979 × 454,979
  4. Step 4: Simplify right side
    207,783x = 207,005,890,441
  5. Step 5: Solve for x
    x = 207,005,890,441/207,783
  6. Step 6: Final answer
    x = 996,259.99

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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.