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Finding the Third Proportional to 53,266 and 108,044

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Solution

The third proportional to 53,266 and 108,044 is: 219,154.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,266 : 108,044 = 108,044 : x
  2. Step 2: Convert to fraction form
    53,266/108,044 = 108,044/x
  3. Step 3: Cross multiply
    53,266x = 108,044 × 108,044
  4. Step 4: Simplify right side
    53,266x = 11,673,505,936
  5. Step 5: Solve for x
    x = 11,673,505,936/53,266
  6. Step 6: Final answer
    x = 219,154.92

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.