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Finding the Third Proportional to 8,770.50 and 20,970

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Solution

The third proportional to 8,770.50 and 20,970 is: 50,138.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,770.50 : 20,970 = 20,970 : x
  2. Step 2: Convert to fraction form
    8,770.50/20,970 = 20,970/x
  3. Step 3: Cross multiply
    8,770.50x = 20,970 × 20,970
  4. Step 4: Simplify right side
    8,770.50x = 439,740,900
  5. Step 5: Solve for x
    x = 439,740,900/8,770.50
  6. Step 6: Final answer
    x = 50,138.64

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.