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Finding the Third Proportional to 15,129.75 and 21,611.25

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Solution

The third proportional to 15,129.75 and 21,611.25 is: 30,869.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,129.75 : 21,611.25 = 21,611.25 : x
  2. Step 2: Convert to fraction form
    15,129.75/21,611.25 = 21,611.25/x
  3. Step 3: Cross multiply
    15,129.75x = 21,611.25 × 21,611.25
  4. Step 4: Simplify right side
    15,129.75x = 467,046,126.56
  5. Step 5: Solve for x
    x = 467,046,126.56/15,129.75
  6. Step 6: Final answer
    x = 30,869.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.