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Finding the Third Proportional to 102,856.31 and 136,479.38

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Solution

The third proportional to 102,856.31 and 136,479.38 is: 181,093.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,856.31 : 136,479.38 = 136,479.38 : x
  2. Step 2: Convert to fraction form
    102,856.31/136,479.38 = 136,479.38/x
  3. Step 3: Cross multiply
    102,856.31x = 136,479.38 × 136,479.38
  4. Step 4: Simplify right side
    102,856.31x = 18,626,619,800.39
  5. Step 5: Solve for x
    x = 18,626,619,800.39/102,856.31
  6. Step 6: Final answer
    x = 181,093.60

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.