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Finding the Third Proportional to 9,777.75 and 20,767.50

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Solution

The third proportional to 9,777.75 and 20,767.50 is: 44,109.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.75 : 20,767.50 = 20,767.50 : x
  2. Step 2: Convert to fraction form
    9,777.75/20,767.50 = 20,767.50/x
  3. Step 3: Cross multiply
    9,777.75x = 20,767.50 × 20,767.50
  4. Step 4: Simplify right side
    9,777.75x = 431,289,056.25
  5. Step 5: Solve for x
    x = 431,289,056.25/9,777.75
  6. Step 6: Final answer
    x = 44,109.23

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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.