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Finding the Third Proportional to 85,128 and 119,301

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Solution

The third proportional to 85,128 and 119,301 is: 167,192.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,128 : 119,301 = 119,301 : x
  2. Step 2: Convert to fraction form
    85,128/119,301 = 119,301/x
  3. Step 3: Cross multiply
    85,128x = 119,301 × 119,301
  4. Step 4: Simplify right side
    85,128x = 14,232,728,601
  5. Step 5: Solve for x
    x = 14,232,728,601/85,128
  6. Step 6: Final answer
    x = 167,192.09

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.