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Finding the Third Proportional to 135,477.56 and 210,969.56

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Solution

The third proportional to 135,477.56 and 210,969.56 is: 328,527.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,477.56 : 210,969.56 = 210,969.56 : x
  2. Step 2: Convert to fraction form
    135,477.56/210,969.56 = 210,969.56/x
  3. Step 3: Cross multiply
    135,477.56x = 210,969.56 × 210,969.56
  4. Step 4: Simplify right side
    135,477.56x = 44,508,156,301.44
  5. Step 5: Solve for x
    x = 44,508,156,301.44/135,477.56
  6. Step 6: Final answer
    x = 328,527.88

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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.