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Finding the Third Proportional to 78,344 and 114,236

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Solution

The third proportional to 78,344 and 114,236 is: 166,571.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,344 : 114,236 = 114,236 : x
  2. Step 2: Convert to fraction form
    78,344/114,236 = 114,236/x
  3. Step 3: Cross multiply
    78,344x = 114,236 × 114,236
  4. Step 4: Simplify right side
    78,344x = 13,049,863,696
  5. Step 5: Solve for x
    x = 13,049,863,696/78,344
  6. Step 6: Final answer
    x = 166,571.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.