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Finding the Third Proportional to 20,172.75 and 42,745.13

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Solution

The third proportional to 20,172.75 and 42,745.13 is: 90,574.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,172.75 : 42,745.13 = 42,745.13 : x
  2. Step 2: Convert to fraction form
    20,172.75/42,745.13 = 42,745.13/x
  3. Step 3: Cross multiply
    20,172.75x = 42,745.13 × 42,745.13
  4. Step 4: Simplify right side
    20,172.75x = 1,827,145,711.27
  5. Step 5: Solve for x
    x = 1,827,145,711.27/20,172.75
  6. Step 6: Final answer
    x = 90,574.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.