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Finding the Third Proportional to 69,081 and 147,963

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Solution

The third proportional to 69,081 and 147,963 is: 316,918.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,081 : 147,963 = 147,963 : x
  2. Step 2: Convert to fraction form
    69,081/147,963 = 147,963/x
  3. Step 3: Cross multiply
    69,081x = 147,963 × 147,963
  4. Step 4: Simplify right side
    69,081x = 21,893,049,369
  5. Step 5: Solve for x
    x = 21,893,049,369/69,081
  6. Step 6: Final answer
    x = 316,918.54

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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.