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Finding the Third Proportional to 30,898 and 66,456

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Solution

The third proportional to 30,898 and 66,456 is: 142,934.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,898 : 66,456 = 66,456 : x
  2. Step 2: Convert to fraction form
    30,898/66,456 = 66,456/x
  3. Step 3: Cross multiply
    30,898x = 66,456 × 66,456
  4. Step 4: Simplify right side
    30,898x = 4,416,399,936
  5. Step 5: Solve for x
    x = 4,416,399,936/30,898
  6. Step 6: Final answer
    x = 142,934.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.