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Finding the Third Proportional to 20,278.69 and 27,121.50

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Solution

The third proportional to 20,278.69 and 27,121.50 is: 36,273.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,278.69 : 27,121.50 = 27,121.50 : x
  2. Step 2: Convert to fraction form
    20,278.69/27,121.50 = 27,121.50/x
  3. Step 3: Cross multiply
    20,278.69x = 27,121.50 × 27,121.50
  4. Step 4: Simplify right side
    20,278.69x = 735,575,762.25
  5. Step 5: Solve for x
    x = 735,575,762.25/20,278.69
  6. Step 6: Final answer
    x = 36,273.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.