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Finding the Third Proportional to 69,764 and 155,026

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Solution

The third proportional to 69,764 and 155,026 is: 344,490.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,764 : 155,026 = 155,026 : x
  2. Step 2: Convert to fraction form
    69,764/155,026 = 155,026/x
  3. Step 3: Cross multiply
    69,764x = 155,026 × 155,026
  4. Step 4: Simplify right side
    69,764x = 24,033,060,676
  5. Step 5: Solve for x
    x = 24,033,060,676/69,764
  6. Step 6: Final answer
    x = 344,490.86

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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.