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Finding the Third Proportional to 207,789.75 and 454,990.50

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Solution

The third proportional to 207,789.75 and 454,990.50 is: 996,277.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,789.75 : 454,990.50 = 454,990.50 : x
  2. Step 2: Convert to fraction form
    207,789.75/454,990.50 = 454,990.50/x
  3. Step 3: Cross multiply
    207,789.75x = 454,990.50 × 454,990.50
  4. Step 4: Simplify right side
    207,789.75x = 207,016,355,090.25
  5. Step 5: Solve for x
    x = 207,016,355,090.25/207,789.75
  6. Step 6: Final answer
    x = 996,277.99

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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.