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Finding the Third Proportional to 239,264 and 347,760

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Solution

The third proportional to 239,264 and 347,760 is: 505,454.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,264 : 347,760 = 347,760 : x
  2. Step 2: Convert to fraction form
    239,264/347,760 = 347,760/x
  3. Step 3: Cross multiply
    239,264x = 347,760 × 347,760
  4. Step 4: Simplify right side
    239,264x = 120,937,017,600
  5. Step 5: Solve for x
    x = 120,937,017,600/239,264
  6. Step 6: Final answer
    x = 505,454.30

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.