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Finding the Third Proportional to 74,138 and 114,969

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Solution

The third proportional to 74,138 and 114,969 is: 178,287.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,138 : 114,969 = 114,969 : x
  2. Step 2: Convert to fraction form
    74,138/114,969 = 114,969/x
  3. Step 3: Cross multiply
    74,138x = 114,969 × 114,969
  4. Step 4: Simplify right side
    74,138x = 13,217,870,961
  5. Step 5: Solve for x
    x = 13,217,870,961/74,138
  6. Step 6: Final answer
    x = 178,287.40

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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.