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Finding the Third Proportional to 53,802.75 and 109,791.75

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Solution

The third proportional to 53,802.75 and 109,791.75 is: 224,044.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,802.75 : 109,791.75 = 109,791.75 : x
  2. Step 2: Convert to fraction form
    53,802.75/109,791.75 = 109,791.75/x
  3. Step 3: Cross multiply
    53,802.75x = 109,791.75 × 109,791.75
  4. Step 4: Simplify right side
    53,802.75x = 12,054,228,368.06
  5. Step 5: Solve for x
    x = 12,054,228,368.06/53,802.75
  6. Step 6: Final answer
    x = 224,044.84

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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.