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Finding the Third Proportional to 30,170 and 67,756

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Solution

The third proportional to 30,170 and 67,756 is: 152,166.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,170 : 67,756 = 67,756 : x
  2. Step 2: Convert to fraction form
    30,170/67,756 = 67,756/x
  3. Step 3: Cross multiply
    30,170x = 67,756 × 67,756
  4. Step 4: Simplify right side
    30,170x = 4,590,875,536
  5. Step 5: Solve for x
    x = 4,590,875,536/30,170
  6. Step 6: Final answer
    x = 152,166.91

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.