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Finding the Third Proportional to 15,820 and 23,079

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Solution

The third proportional to 15,820 and 23,079 is: 33,668.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,820 : 23,079 = 23,079 : x
  2. Step 2: Convert to fraction form
    15,820/23,079 = 23,079/x
  3. Step 3: Cross multiply
    15,820x = 23,079 × 23,079
  4. Step 4: Simplify right side
    15,820x = 532,640,241
  5. Step 5: Solve for x
    x = 532,640,241/15,820
  6. Step 6: Final answer
    x = 33,668.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.