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Finding the Third Proportional to 153,872 and 347,256

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Solution

The third proportional to 153,872 and 347,256 is: 783,682.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,872 : 347,256 = 347,256 : x
  2. Step 2: Convert to fraction form
    153,872/347,256 = 347,256/x
  3. Step 3: Cross multiply
    153,872x = 347,256 × 347,256
  4. Step 4: Simplify right side
    153,872x = 120,586,729,536
  5. Step 5: Solve for x
    x = 120,586,729,536/153,872
  6. Step 6: Final answer
    x = 783,682.08

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.