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Finding the Third Proportional to 117,138 and 178,464

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Solution

The third proportional to 117,138 and 178,464 is: 271,896.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,138 : 178,464 = 178,464 : x
  2. Step 2: Convert to fraction form
    117,138/178,464 = 178,464/x
  3. Step 3: Cross multiply
    117,138x = 178,464 × 178,464
  4. Step 4: Simplify right side
    117,138x = 31,849,399,296
  5. Step 5: Solve for x
    x = 31,849,399,296/117,138
  6. Step 6: Final answer
    x = 271,896.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.