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Finding the Third Proportional to 52,110.84 and 106,066.97

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Solution

The third proportional to 52,110.84 and 106,066.97 is: 215,889.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,110.84 : 106,066.97 = 106,066.97 : x
  2. Step 2: Convert to fraction form
    52,110.84/106,066.97 = 106,066.97/x
  3. Step 3: Cross multiply
    52,110.84x = 106,066.97 × 106,066.97
  4. Step 4: Simplify right side
    52,110.84x = 11,250,201,859.81
  5. Step 5: Solve for x
    x = 11,250,201,859.81/52,110.84
  6. Step 6: Final answer
    x = 215,889.84

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.