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Finding the Third Proportional to 86,541 and 130,965

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Solution

The third proportional to 86,541 and 130,965 is: 198,193.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,541 : 130,965 = 130,965 : x
  2. Step 2: Convert to fraction form
    86,541/130,965 = 130,965/x
  3. Step 3: Cross multiply
    86,541x = 130,965 × 130,965
  4. Step 4: Simplify right side
    86,541x = 17,151,831,225
  5. Step 5: Solve for x
    x = 17,151,831,225/86,541
  6. Step 6: Final answer
    x = 198,193.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.