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Finding the Third Proportional to 156,971 and 201,551

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Solution

The third proportional to 156,971 and 201,551 is: 258,791.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,971 : 201,551 = 201,551 : x
  2. Step 2: Convert to fraction form
    156,971/201,551 = 201,551/x
  3. Step 3: Cross multiply
    156,971x = 201,551 × 201,551
  4. Step 4: Simplify right side
    156,971x = 40,622,805,601
  5. Step 5: Solve for x
    x = 40,622,805,601/156,971
  6. Step 6: Final answer
    x = 258,791.79

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.