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Finding the Third Proportional to 15,728 and 34,080

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Solution

The third proportional to 15,728 and 34,080 is: 73,845.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,728 : 34,080 = 34,080 : x
  2. Step 2: Convert to fraction form
    15,728/34,080 = 34,080/x
  3. Step 3: Cross multiply
    15,728x = 34,080 × 34,080
  4. Step 4: Simplify right side
    15,728x = 1,161,446,400
  5. Step 5: Solve for x
    x = 1,161,446,400/15,728
  6. Step 6: Final answer
    x = 73,845.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.