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Finding the Third Proportional to 8,971.50 and 20,955

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Solution

The third proportional to 8,971.50 and 20,955 is: 48,945.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.50 : 20,955 = 20,955 : x
  2. Step 2: Convert to fraction form
    8,971.50/20,955 = 20,955/x
  3. Step 3: Cross multiply
    8,971.50x = 20,955 × 20,955
  4. Step 4: Simplify right side
    8,971.50x = 439,112,025
  5. Step 5: Solve for x
    x = 439,112,025/8,971.50
  6. Step 6: Final answer
    x = 48,945.22

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.