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Finding the Third Proportional to 15,891.75 and 17,349.75

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Solution

The third proportional to 15,891.75 and 17,349.75 is: 18,941.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,891.75 : 17,349.75 = 17,349.75 : x
  2. Step 2: Convert to fraction form
    15,891.75/17,349.75 = 17,349.75/x
  3. Step 3: Cross multiply
    15,891.75x = 17,349.75 × 17,349.75
  4. Step 4: Simplify right side
    15,891.75x = 301,013,825.06
  5. Step 5: Solve for x
    x = 301,013,825.06/15,891.75
  6. Step 6: Final answer
    x = 18,941.52

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.