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Finding the Third Proportional to 135,551.29 and 208,516.78

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Solution

The third proportional to 135,551.29 and 208,516.78 is: 320,758.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,551.29 : 208,516.78 = 208,516.78 : x
  2. Step 2: Convert to fraction form
    135,551.29/208,516.78 = 208,516.78/x
  3. Step 3: Cross multiply
    135,551.29x = 208,516.78 × 208,516.78
  4. Step 4: Simplify right side
    135,551.29x = 43,479,248,062.86
  5. Step 5: Solve for x
    x = 43,479,248,062.86/135,551.29
  6. Step 6: Final answer
    x = 320,758.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.