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Finding the Third Proportional to 155,561 and 339,280

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Solution

The third proportional to 155,561 and 339,280 is: 739,972.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,561 : 339,280 = 339,280 : x
  2. Step 2: Convert to fraction form
    155,561/339,280 = 339,280/x
  3. Step 3: Cross multiply
    155,561x = 339,280 × 339,280
  4. Step 4: Simplify right side
    155,561x = 115,110,918,400
  5. Step 5: Solve for x
    x = 115,110,918,400/155,561
  6. Step 6: Final answer
    x = 739,972.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.