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Finding the Third Proportional to 69,258 and 149,202

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Solution

The third proportional to 69,258 and 149,202 is: 321,424.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,258 : 149,202 = 149,202 : x
  2. Step 2: Convert to fraction form
    69,258/149,202 = 149,202/x
  3. Step 3: Cross multiply
    69,258x = 149,202 × 149,202
  4. Step 4: Simplify right side
    69,258x = 22,261,236,804
  5. Step 5: Solve for x
    x = 22,261,236,804/69,258
  6. Step 6: Final answer
    x = 321,424.77

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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.