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Finding the Third Proportional to 31,722 and 68,460

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Solution

The third proportional to 31,722 and 68,460 is: 147,745.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,722 : 68,460 = 68,460 : x
  2. Step 2: Convert to fraction form
    31,722/68,460 = 68,460/x
  3. Step 3: Cross multiply
    31,722x = 68,460 × 68,460
  4. Step 4: Simplify right side
    31,722x = 4,686,771,600
  5. Step 5: Solve for x
    x = 4,686,771,600/31,722
  6. Step 6: Final answer
    x = 147,745.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.