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Finding the Third Proportional to 65,971 and 102,215

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Solution

The third proportional to 65,971 and 102,215 is: 158,371.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,971 : 102,215 = 102,215 : x
  2. Step 2: Convert to fraction form
    65,971/102,215 = 102,215/x
  3. Step 3: Cross multiply
    65,971x = 102,215 × 102,215
  4. Step 4: Simplify right side
    65,971x = 10,447,906,225
  5. Step 5: Solve for x
    x = 10,447,906,225/65,971
  6. Step 6: Final answer
    x = 158,371.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.