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Finding the Third Proportional to 30,296 and 66,364

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Solution

The third proportional to 30,296 and 66,364 is: 145,371.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,296 : 66,364 = 66,364 : x
  2. Step 2: Convert to fraction form
    30,296/66,364 = 66,364/x
  3. Step 3: Cross multiply
    30,296x = 66,364 × 66,364
  4. Step 4: Simplify right side
    30,296x = 4,404,180,496
  5. Step 5: Solve for x
    x = 4,404,180,496/30,296
  6. Step 6: Final answer
    x = 145,371.68

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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.