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Finding the Third Proportional to 69,100 and 146,503

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Solution

The third proportional to 69,100 and 146,503 is: 310,609.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,100 : 146,503 = 146,503 : x
  2. Step 2: Convert to fraction form
    69,100/146,503 = 146,503/x
  3. Step 3: Cross multiply
    69,100x = 146,503 × 146,503
  4. Step 4: Simplify right side
    69,100x = 21,463,129,009
  5. Step 5: Solve for x
    x = 21,463,129,009/69,100
  6. Step 6: Final answer
    x = 310,609.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.