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Finding the Third Proportional to 117,816 and 178,440

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Solution

The third proportional to 117,816 and 178,440 is: 270,258.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,816 : 178,440 = 178,440 : x
  2. Step 2: Convert to fraction form
    117,816/178,440 = 178,440/x
  3. Step 3: Cross multiply
    117,816x = 178,440 × 178,440
  4. Step 4: Simplify right side
    117,816x = 31,840,833,600
  5. Step 5: Solve for x
    x = 31,840,833,600/117,816
  6. Step 6: Final answer
    x = 270,258.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.