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Finding the Third Proportional to 135,247 and 210,525

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Solution

The third proportional to 135,247 and 210,525 is: 327,702.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,247 : 210,525 = 210,525 : x
  2. Step 2: Convert to fraction form
    135,247/210,525 = 210,525/x
  3. Step 3: Cross multiply
    135,247x = 210,525 × 210,525
  4. Step 4: Simplify right side
    135,247x = 44,320,775,625
  5. Step 5: Solve for x
    x = 44,320,775,625/135,247
  6. Step 6: Final answer
    x = 327,702.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.