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Finding the Third Proportional to 85,972 and 183,015

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Solution

The third proportional to 85,972 and 183,015 is: 389,597.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,972 : 183,015 = 183,015 : x
  2. Step 2: Convert to fraction form
    85,972/183,015 = 183,015/x
  3. Step 3: Cross multiply
    85,972x = 183,015 × 183,015
  4. Step 4: Simplify right side
    85,972x = 33,494,490,225
  5. Step 5: Solve for x
    x = 33,494,490,225/85,972
  6. Step 6: Final answer
    x = 389,597.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.