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Finding the Third Proportional to 83,611 and 130,965

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Solution

The third proportional to 83,611 and 130,965 is: 205,138.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,611 : 130,965 = 130,965 : x
  2. Step 2: Convert to fraction form
    83,611/130,965 = 130,965/x
  3. Step 3: Cross multiply
    83,611x = 130,965 × 130,965
  4. Step 4: Simplify right side
    83,611x = 17,151,831,225
  5. Step 5: Solve for x
    x = 17,151,831,225/83,611
  6. Step 6: Final answer
    x = 205,138.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.