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Finding the Third Proportional to 15,500 and 19,605

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Solution

The third proportional to 15,500 and 19,605 is: 24,797.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,500 : 19,605 = 19,605 : x
  2. Step 2: Convert to fraction form
    15,500/19,605 = 19,605/x
  3. Step 3: Cross multiply
    15,500x = 19,605 × 19,605
  4. Step 4: Simplify right side
    15,500x = 384,356,025
  5. Step 5: Solve for x
    x = 384,356,025/15,500
  6. Step 6: Final answer
    x = 24,797.16

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.