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Finding the Third Proportional to 85,869 and 126,320

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Solution

The third proportional to 85,869 and 126,320 is: 185,826.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,869 : 126,320 = 126,320 : x
  2. Step 2: Convert to fraction form
    85,869/126,320 = 126,320/x
  3. Step 3: Cross multiply
    85,869x = 126,320 × 126,320
  4. Step 4: Simplify right side
    85,869x = 15,956,742,400
  5. Step 5: Solve for x
    x = 15,956,742,400/85,869
  6. Step 6: Final answer
    x = 185,826.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.