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Finding the Third Proportional to 30,336 and 66,176

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Solution

The third proportional to 30,336 and 66,176 is: 144,358.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,336 : 66,176 = 66,176 : x
  2. Step 2: Convert to fraction form
    30,336/66,176 = 66,176/x
  3. Step 3: Cross multiply
    30,336x = 66,176 × 66,176
  4. Step 4: Simplify right side
    30,336x = 4,379,262,976
  5. Step 5: Solve for x
    x = 4,379,262,976/30,336
  6. Step 6: Final answer
    x = 144,358.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.