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Finding the Third Proportional to 20,220 and 41,739

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Solution

The third proportional to 20,220 and 41,739 is: 86,159.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,220 : 41,739 = 41,739 : x
  2. Step 2: Convert to fraction form
    20,220/41,739 = 41,739/x
  3. Step 3: Cross multiply
    20,220x = 41,739 × 41,739
  4. Step 4: Simplify right side
    20,220x = 1,742,144,121
  5. Step 5: Solve for x
    x = 1,742,144,121/20,220
  6. Step 6: Final answer
    x = 86,159.45

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.