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Finding the Third Proportional to 74,256 and 114,900

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Solution

The third proportional to 74,256 and 114,900 is: 177,790.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,256 : 114,900 = 114,900 : x
  2. Step 2: Convert to fraction form
    74,256/114,900 = 114,900/x
  3. Step 3: Cross multiply
    74,256x = 114,900 × 114,900
  4. Step 4: Simplify right side
    74,256x = 13,202,010,000
  5. Step 5: Solve for x
    x = 13,202,010,000/74,256
  6. Step 6: Final answer
    x = 177,790.48

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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.