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Finding the Third Proportional to 135,245 and 210,521

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Solution

The third proportional to 135,245 and 210,521 is: 327,694.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,245 : 210,521 = 210,521 : x
  2. Step 2: Convert to fraction form
    135,245/210,521 = 210,521/x
  3. Step 3: Cross multiply
    135,245x = 210,521 × 210,521
  4. Step 4: Simplify right side
    135,245x = 44,319,091,441
  5. Step 5: Solve for x
    x = 44,319,091,441/135,245
  6. Step 6: Final answer
    x = 327,694.86

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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.