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Finding the Third Proportional to 20,984 and 32,756

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Solution

The third proportional to 20,984 and 32,756 is: 51,132.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,984 : 32,756 = 32,756 : x
  2. Step 2: Convert to fraction form
    20,984/32,756 = 32,756/x
  3. Step 3: Cross multiply
    20,984x = 32,756 × 32,756
  4. Step 4: Simplify right side
    20,984x = 1,072,955,536
  5. Step 5: Solve for x
    x = 1,072,955,536/20,984
  6. Step 6: Final answer
    x = 51,132.08

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.