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Finding the Third Proportional to 20,515 and 30,889

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Solution

The third proportional to 20,515 and 30,889 is: 46,508.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,515 : 30,889 = 30,889 : x
  2. Step 2: Convert to fraction form
    20,515/30,889 = 30,889/x
  3. Step 3: Cross multiply
    20,515x = 30,889 × 30,889
  4. Step 4: Simplify right side
    20,515x = 954,130,321
  5. Step 5: Solve for x
    x = 954,130,321/20,515
  6. Step 6: Final answer
    x = 46,508.91

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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.