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Finding the Third Proportional to 69,786 and 155,052

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Solution

The third proportional to 69,786 and 155,052 is: 344,497.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,786 : 155,052 = 155,052 : x
  2. Step 2: Convert to fraction form
    69,786/155,052 = 155,052/x
  3. Step 3: Cross multiply
    69,786x = 155,052 × 155,052
  4. Step 4: Simplify right side
    69,786x = 24,041,122,704
  5. Step 5: Solve for x
    x = 24,041,122,704/69,786
  6. Step 6: Final answer
    x = 344,497.79

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.