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Finding the Third Proportional to 69,106 and 149,240

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Solution

The third proportional to 69,106 and 149,240 is: 322,295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,106 : 149,240 = 149,240 : x
  2. Step 2: Convert to fraction form
    69,106/149,240 = 149,240/x
  3. Step 3: Cross multiply
    69,106x = 149,240 × 149,240
  4. Step 4: Simplify right side
    69,106x = 22,272,577,600
  5. Step 5: Solve for x
    x = 22,272,577,600/69,106
  6. Step 6: Final answer
    x = 322,295.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.