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Finding the Third Proportional to 88,844 and 193,726

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Solution

The third proportional to 88,844 and 193,726 is: 422,423.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,844 : 193,726 = 193,726 : x
  2. Step 2: Convert to fraction form
    88,844/193,726 = 193,726/x
  3. Step 3: Cross multiply
    88,844x = 193,726 × 193,726
  4. Step 4: Simplify right side
    88,844x = 37,529,763,076
  5. Step 5: Solve for x
    x = 37,529,763,076/88,844
  6. Step 6: Final answer
    x = 422,423.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.