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Finding the Third Proportional to 155,969 and 217,311

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Solution

The third proportional to 155,969 and 217,311 is: 302,778.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,969 : 217,311 = 217,311 : x
  2. Step 2: Convert to fraction form
    155,969/217,311 = 217,311/x
  3. Step 3: Cross multiply
    155,969x = 217,311 × 217,311
  4. Step 4: Simplify right side
    155,969x = 47,224,070,721
  5. Step 5: Solve for x
    x = 47,224,070,721/155,969
  6. Step 6: Final answer
    x = 302,778.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.