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Finding the Third Proportional to 79,971 and 185,135

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Solution

The third proportional to 79,971 and 185,135 is: 428,592.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,971 : 185,135 = 185,135 : x
  2. Step 2: Convert to fraction form
    79,971/185,135 = 185,135/x
  3. Step 3: Cross multiply
    79,971x = 185,135 × 185,135
  4. Step 4: Simplify right side
    79,971x = 34,274,968,225
  5. Step 5: Solve for x
    x = 34,274,968,225/79,971
  6. Step 6: Final answer
    x = 428,592.47

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.