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Finding the Third Proportional to 85,432 and 134,208

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Solution

The third proportional to 85,432 and 134,208 is: 210,831.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,432 : 134,208 = 134,208 : x
  2. Step 2: Convert to fraction form
    85,432/134,208 = 134,208/x
  3. Step 3: Cross multiply
    85,432x = 134,208 × 134,208
  4. Step 4: Simplify right side
    85,432x = 18,011,787,264
  5. Step 5: Solve for x
    x = 18,011,787,264/85,432
  6. Step 6: Final answer
    x = 210,831.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.