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Finding the Third Proportional to 135,396.56 and 210,491.16

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Solution

The third proportional to 135,396.56 and 210,491.16 is: 327,235.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,396.56 : 210,491.16 = 210,491.16 : x
  2. Step 2: Convert to fraction form
    135,396.56/210,491.16 = 210,491.16/x
  3. Step 3: Cross multiply
    135,396.56x = 210,491.16 × 210,491.16
  4. Step 4: Simplify right side
    135,396.56x = 44,306,526,859.46
  5. Step 5: Solve for x
    x = 44,306,526,859.46/135,396.56
  6. Step 6: Final answer
    x = 327,235.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.