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Finding the Third Proportional to 155,236 and 339,530

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Solution

The third proportional to 155,236 and 339,530 is: 742,615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,236 : 339,530 = 339,530 : x
  2. Step 2: Convert to fraction form
    155,236/339,530 = 339,530/x
  3. Step 3: Cross multiply
    155,236x = 339,530 × 339,530
  4. Step 4: Simplify right side
    155,236x = 115,280,620,900
  5. Step 5: Solve for x
    x = 115,280,620,900/155,236
  6. Step 6: Final answer
    x = 742,615.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.