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Finding the Third Proportional to 20,786 and 27,108.50

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Solution

The third proportional to 20,786 and 27,108.50 is: 35,354.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,786 : 27,108.50 = 27,108.50 : x
  2. Step 2: Convert to fraction form
    20,786/27,108.50 = 27,108.50/x
  3. Step 3: Cross multiply
    20,786x = 27,108.50 × 27,108.50
  4. Step 4: Simplify right side
    20,786x = 734,870,772.25
  5. Step 5: Solve for x
    x = 734,870,772.25/20,786
  6. Step 6: Final answer
    x = 35,354.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.