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Finding the Third Proportional to 20,786 and 45,592

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Solution

The third proportional to 20,786 and 45,592 is: 100,001.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,786 : 45,592 = 45,592 : x
  2. Step 2: Convert to fraction form
    20,786/45,592 = 45,592/x
  3. Step 3: Cross multiply
    20,786x = 45,592 × 45,592
  4. Step 4: Simplify right side
    20,786x = 2,078,630,464
  5. Step 5: Solve for x
    x = 2,078,630,464/20,786
  6. Step 6: Final answer
    x = 100,001.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.