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Finding the Third Proportional to 15,736.50 and 21,174.75

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Solution

The third proportional to 15,736.50 and 21,174.75 is: 28,492.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,736.50 : 21,174.75 = 21,174.75 : x
  2. Step 2: Convert to fraction form
    15,736.50/21,174.75 = 21,174.75/x
  3. Step 3: Cross multiply
    15,736.50x = 21,174.75 × 21,174.75
  4. Step 4: Simplify right side
    15,736.50x = 448,370,037.56
  5. Step 5: Solve for x
    x = 448,370,037.56/15,736.50
  6. Step 6: Final answer
    x = 28,492.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.