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Finding the Third Proportional to 69,278 and 148,916

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Solution

The third proportional to 69,278 and 148,916 is: 320,101.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,278 : 148,916 = 148,916 : x
  2. Step 2: Convert to fraction form
    69,278/148,916 = 148,916/x
  3. Step 3: Cross multiply
    69,278x = 148,916 × 148,916
  4. Step 4: Simplify right side
    69,278x = 22,175,975,056
  5. Step 5: Solve for x
    x = 22,175,975,056/69,278
  6. Step 6: Final answer
    x = 320,101.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.