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Finding the Third Proportional to 217,815 and 326,709

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Solution

The third proportional to 217,815 and 326,709 is: 490,043.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,815 : 326,709 = 326,709 : x
  2. Step 2: Convert to fraction form
    217,815/326,709 = 326,709/x
  3. Step 3: Cross multiply
    217,815x = 326,709 × 326,709
  4. Step 4: Simplify right side
    217,815x = 106,738,770,681
  5. Step 5: Solve for x
    x = 106,738,770,681/217,815
  6. Step 6: Final answer
    x = 490,043.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.