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Finding the Third Proportional to 30,768 and 43,536

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Solution

The third proportional to 30,768 and 43,536 is: 61,602.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,768 : 43,536 = 43,536 : x
  2. Step 2: Convert to fraction form
    30,768/43,536 = 43,536/x
  3. Step 3: Cross multiply
    30,768x = 43,536 × 43,536
  4. Step 4: Simplify right side
    30,768x = 1,895,383,296
  5. Step 5: Solve for x
    x = 1,895,383,296/30,768
  6. Step 6: Final answer
    x = 61,602.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.