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Finding the Third Proportional to 64,956 and 132,984

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Solution

The third proportional to 64,956 and 132,984 is: 272,257.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,956 : 132,984 = 132,984 : x
  2. Step 2: Convert to fraction form
    64,956/132,984 = 132,984/x
  3. Step 3: Cross multiply
    64,956x = 132,984 × 132,984
  4. Step 4: Simplify right side
    64,956x = 17,684,744,256
  5. Step 5: Solve for x
    x = 17,684,744,256/64,956
  6. Step 6: Final answer
    x = 272,257.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.