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Finding the Third Proportional to 15,772.50 and 20,886.75

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Solution

The third proportional to 15,772.50 and 20,886.75 is: 27,659.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,772.50 : 20,886.75 = 20,886.75 : x
  2. Step 2: Convert to fraction form
    15,772.50/20,886.75 = 20,886.75/x
  3. Step 3: Cross multiply
    15,772.50x = 20,886.75 × 20,886.75
  4. Step 4: Simplify right side
    15,772.50x = 436,256,325.56
  5. Step 5: Solve for x
    x = 436,256,325.56/15,772.50
  6. Step 6: Final answer
    x = 27,659.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.