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Finding the Third Proportional to 217,297.69 and 330,439.50

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Solution

The third proportional to 217,297.69 and 330,439.50 is: 502,491.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,297.69 : 330,439.50 = 330,439.50 : x
  2. Step 2: Convert to fraction form
    217,297.69/330,439.50 = 330,439.50/x
  3. Step 3: Cross multiply
    217,297.69x = 330,439.50 × 330,439.50
  4. Step 4: Simplify right side
    217,297.69x = 109,190,263,160.25
  5. Step 5: Solve for x
    x = 109,190,263,160.25/217,297.69
  6. Step 6: Final answer
    x = 502,491.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.