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Finding the Third Proportional to 15,720 and 23,722

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Solution

The third proportional to 15,720 and 23,722 is: 35,797.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,720 : 23,722 = 23,722 : x
  2. Step 2: Convert to fraction form
    15,720/23,722 = 23,722/x
  3. Step 3: Cross multiply
    15,720x = 23,722 × 23,722
  4. Step 4: Simplify right side
    15,720x = 562,733,284
  5. Step 5: Solve for x
    x = 562,733,284/15,720
  6. Step 6: Final answer
    x = 35,797.28

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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.