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Finding the Third Proportional to 30,478 and 66,647

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Solution

The third proportional to 30,478 and 66,647 is: 145,738.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,478 : 66,647 = 66,647 : x
  2. Step 2: Convert to fraction form
    30,478/66,647 = 66,647/x
  3. Step 3: Cross multiply
    30,478x = 66,647 × 66,647
  4. Step 4: Simplify right side
    30,478x = 4,441,822,609
  5. Step 5: Solve for x
    x = 4,441,822,609/30,478
  6. Step 6: Final answer
    x = 145,738.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.