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Finding the Third Proportional to 69,684 and 149,205

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Solution

The third proportional to 69,684 and 149,205 is: 319,472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,684 : 149,205 = 149,205 : x
  2. Step 2: Convert to fraction form
    69,684/149,205 = 149,205/x
  3. Step 3: Cross multiply
    69,684x = 149,205 × 149,205
  4. Step 4: Simplify right side
    69,684x = 22,262,132,025
  5. Step 5: Solve for x
    x = 22,262,132,025/69,684
  6. Step 6: Final answer
    x = 319,472.65

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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.