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Finding the Third Proportional to 85,008 and 131,169

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Solution

The third proportional to 85,008 and 131,169 is: 202,396.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,008 : 131,169 = 131,169 : x
  2. Step 2: Convert to fraction form
    85,008/131,169 = 131,169/x
  3. Step 3: Cross multiply
    85,008x = 131,169 × 131,169
  4. Step 4: Simplify right side
    85,008x = 17,205,306,561
  5. Step 5: Solve for x
    x = 17,205,306,561/85,008
  6. Step 6: Final answer
    x = 202,396.32

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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.