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Finding the Third Proportional to 15,872 and 35,505

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Solution

The third proportional to 15,872 and 35,505 is: 79,423.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,872 : 35,505 = 35,505 : x
  2. Step 2: Convert to fraction form
    15,872/35,505 = 35,505/x
  3. Step 3: Cross multiply
    15,872x = 35,505 × 35,505
  4. Step 4: Simplify right side
    15,872x = 1,260,605,025
  5. Step 5: Solve for x
    x = 1,260,605,025/15,872
  6. Step 6: Final answer
    x = 79,423.20

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.