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Finding the Third Proportional to 117,857 and 178,497.50

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Solution

The third proportional to 117,857 and 178,497.50 is: 270,339.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,857 : 178,497.50 = 178,497.50 : x
  2. Step 2: Convert to fraction form
    117,857/178,497.50 = 178,497.50/x
  3. Step 3: Cross multiply
    117,857x = 178,497.50 × 178,497.50
  4. Step 4: Simplify right side
    117,857x = 31,861,357,506.25
  5. Step 5: Solve for x
    x = 31,861,357,506.25/117,857
  6. Step 6: Final answer
    x = 270,339.12

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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.