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Finding the Third Proportional to 209,724 and 454,434

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Solution

The third proportional to 209,724 and 454,434 is: 984,676.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,724 : 454,434 = 454,434 : x
  2. Step 2: Convert to fraction form
    209,724/454,434 = 454,434/x
  3. Step 3: Cross multiply
    209,724x = 454,434 × 454,434
  4. Step 4: Simplify right side
    209,724x = 206,510,260,356
  5. Step 5: Solve for x
    x = 206,510,260,356/209,724
  6. Step 6: Final answer
    x = 984,676.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.