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Finding the Third Proportional to 55,109 and 112,553

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Solution

The third proportional to 55,109 and 112,553 is: 229,874.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,109 : 112,553 = 112,553 : x
  2. Step 2: Convert to fraction form
    55,109/112,553 = 112,553/x
  3. Step 3: Cross multiply
    55,109x = 112,553 × 112,553
  4. Step 4: Simplify right side
    55,109x = 12,668,177,809
  5. Step 5: Solve for x
    x = 12,668,177,809/55,109
  6. Step 6: Final answer
    x = 229,874.94

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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.