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Finding the Third Proportional to 69,077 and 147,955

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Solution

The third proportional to 69,077 and 147,955 is: 316,902.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,077 : 147,955 = 147,955 : x
  2. Step 2: Convert to fraction form
    69,077/147,955 = 147,955/x
  3. Step 3: Cross multiply
    69,077x = 147,955 × 147,955
  4. Step 4: Simplify right side
    69,077x = 21,890,682,025
  5. Step 5: Solve for x
    x = 21,890,682,025/69,077
  6. Step 6: Final answer
    x = 316,902.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.