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Finding the Third Proportional to 69,455 and 148,954

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Solution

The third proportional to 69,455 and 148,954 is: 319,448.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,455 : 148,954 = 148,954 : x
  2. Step 2: Convert to fraction form
    69,455/148,954 = 148,954/x
  3. Step 3: Cross multiply
    69,455x = 148,954 × 148,954
  4. Step 4: Simplify right side
    69,455x = 22,187,294,116
  5. Step 5: Solve for x
    x = 22,187,294,116/69,455
  6. Step 6: Final answer
    x = 319,448.48

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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.