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Finding the Third Proportional to 12,723.75 and 15,268.50

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Solution

The third proportional to 12,723.75 and 15,268.50 is: 18,322.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,723.75 : 15,268.50 = 15,268.50 : x
  2. Step 2: Convert to fraction form
    12,723.75/15,268.50 = 15,268.50/x
  3. Step 3: Cross multiply
    12,723.75x = 15,268.50 × 15,268.50
  4. Step 4: Simplify right side
    12,723.75x = 233,127,092.25
  5. Step 5: Solve for x
    x = 233,127,092.25/12,723.75
  6. Step 6: Final answer
    x = 18,322.20

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.