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Finding the Third Proportional to 31,278 and 69,551

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Solution

The third proportional to 31,278 and 69,551 is: 154,656.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,278 : 69,551 = 69,551 : x
  2. Step 2: Convert to fraction form
    31,278/69,551 = 69,551/x
  3. Step 3: Cross multiply
    31,278x = 69,551 × 69,551
  4. Step 4: Simplify right side
    31,278x = 4,837,341,601
  5. Step 5: Solve for x
    x = 4,837,341,601/31,278
  6. Step 6: Final answer
    x = 154,656.36

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.