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Finding the Third Proportional to 74,078 and 114,880

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Solution

The third proportional to 74,078 and 114,880 is: 178,155.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,078 : 114,880 = 114,880 : x
  2. Step 2: Convert to fraction form
    74,078/114,880 = 114,880/x
  3. Step 3: Cross multiply
    74,078x = 114,880 × 114,880
  4. Step 4: Simplify right side
    74,078x = 13,197,414,400
  5. Step 5: Solve for x
    x = 13,197,414,400/74,078
  6. Step 6: Final answer
    x = 178,155.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.