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Finding the Third Proportional to 20,206.13 and 31,978.13

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Solution

The third proportional to 20,206.13 and 31,978.13 is: 50,608.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,206.13 : 31,978.13 = 31,978.13 : x
  2. Step 2: Convert to fraction form
    20,206.13/31,978.13 = 31,978.13/x
  3. Step 3: Cross multiply
    20,206.13x = 31,978.13 × 31,978.13
  4. Step 4: Simplify right side
    20,206.13x = 1,022,600,478.52
  5. Step 5: Solve for x
    x = 1,022,600,478.52/20,206.13
  6. Step 6: Final answer
    x = 50,608.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.