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Finding the Third Proportional to 69,774 and 145,452

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Solution

The third proportional to 69,774 and 145,452 is: 303,211.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,774 : 145,452 = 145,452 : x
  2. Step 2: Convert to fraction form
    69,774/145,452 = 145,452/x
  3. Step 3: Cross multiply
    69,774x = 145,452 × 145,452
  4. Step 4: Simplify right side
    69,774x = 21,156,284,304
  5. Step 5: Solve for x
    x = 21,156,284,304/69,774
  6. Step 6: Final answer
    x = 303,211.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.