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Finding the Third Proportional to 209,016 and 454,536

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Solution

The third proportional to 209,016 and 454,536 is: 988,455.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,016 : 454,536 = 454,536 : x
  2. Step 2: Convert to fraction form
    209,016/454,536 = 454,536/x
  3. Step 3: Cross multiply
    209,016x = 454,536 × 454,536
  4. Step 4: Simplify right side
    209,016x = 206,602,975,296
  5. Step 5: Solve for x
    x = 206,602,975,296/209,016
  6. Step 6: Final answer
    x = 988,455.31

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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.