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Finding the Third Proportional to 85,007 and 131,168

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Solution

The third proportional to 85,007 and 131,168 is: 202,395.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,007 : 131,168 = 131,168 : x
  2. Step 2: Convert to fraction form
    85,007/131,168 = 131,168/x
  3. Step 3: Cross multiply
    85,007x = 131,168 × 131,168
  4. Step 4: Simplify right side
    85,007x = 17,205,044,224
  5. Step 5: Solve for x
    x = 17,205,044,224/85,007
  6. Step 6: Final answer
    x = 202,395.62

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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.