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Finding the Third Proportional to 85,619 and 183,120

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Solution

The third proportional to 85,619 and 183,120 is: 391,652.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,619 : 183,120 = 183,120 : x
  2. Step 2: Convert to fraction form
    85,619/183,120 = 183,120/x
  3. Step 3: Cross multiply
    85,619x = 183,120 × 183,120
  4. Step 4: Simplify right side
    85,619x = 33,532,934,400
  5. Step 5: Solve for x
    x = 33,532,934,400/85,619
  6. Step 6: Final answer
    x = 391,652.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.