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Finding the Third Proportional to 217,439 and 306,201.50

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Solution

The third proportional to 217,439 and 306,201.50 is: 431,198.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,439 : 306,201.50 = 306,201.50 : x
  2. Step 2: Convert to fraction form
    217,439/306,201.50 = 306,201.50/x
  3. Step 3: Cross multiply
    217,439x = 306,201.50 × 306,201.50
  4. Step 4: Simplify right side
    217,439x = 93,759,358,602.25
  5. Step 5: Solve for x
    x = 93,759,358,602.25/217,439
  6. Step 6: Final answer
    x = 431,198.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.