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Finding the Third Proportional to 20,661.75 and 25,143.75

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Solution

The third proportional to 20,661.75 and 25,143.75 is: 30,598.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,661.75 : 25,143.75 = 25,143.75 : x
  2. Step 2: Convert to fraction form
    20,661.75/25,143.75 = 25,143.75/x
  3. Step 3: Cross multiply
    20,661.75x = 25,143.75 × 25,143.75
  4. Step 4: Simplify right side
    20,661.75x = 632,208,164.06
  5. Step 5: Solve for x
    x = 632,208,164.06/20,661.75
  6. Step 6: Final answer
    x = 30,598.00

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.