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Finding the Third Proportional to 15,091.50 and 21,657.75

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Solution

The third proportional to 15,091.50 and 21,657.75 is: 31,080.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,091.50 : 21,657.75 = 21,657.75 : x
  2. Step 2: Convert to fraction form
    15,091.50/21,657.75 = 21,657.75/x
  3. Step 3: Cross multiply
    15,091.50x = 21,657.75 × 21,657.75
  4. Step 4: Simplify right side
    15,091.50x = 469,058,135.06
  5. Step 5: Solve for x
    x = 469,058,135.06/15,091.50
  6. Step 6: Final answer
    x = 31,080.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.