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Finding the Third Proportional to 85,886 and 131,391

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Solution

The third proportional to 85,886 and 131,391 is: 201,005.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,886 : 131,391 = 131,391 : x
  2. Step 2: Convert to fraction form
    85,886/131,391 = 131,391/x
  3. Step 3: Cross multiply
    85,886x = 131,391 × 131,391
  4. Step 4: Simplify right side
    85,886x = 17,263,594,881
  5. Step 5: Solve for x
    x = 17,263,594,881/85,886
  6. Step 6: Final answer
    x = 201,005.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.