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Finding the Third Proportional to 15,664 and 17,296

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Solution

The third proportional to 15,664 and 17,296 is: 19,098.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,664 : 17,296 = 17,296 : x
  2. Step 2: Convert to fraction form
    15,664/17,296 = 17,296/x
  3. Step 3: Cross multiply
    15,664x = 17,296 × 17,296
  4. Step 4: Simplify right side
    15,664x = 299,151,616
  5. Step 5: Solve for x
    x = 299,151,616/15,664
  6. Step 6: Final answer
    x = 19,098.03

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.