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Finding the Third Proportional to 57,072 and 85,392

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Solution

The third proportional to 57,072 and 85,392 is: 127,764.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,072 : 85,392 = 85,392 : x
  2. Step 2: Convert to fraction form
    57,072/85,392 = 85,392/x
  3. Step 3: Cross multiply
    57,072x = 85,392 × 85,392
  4. Step 4: Simplify right side
    57,072x = 7,291,793,664
  5. Step 5: Solve for x
    x = 7,291,793,664/57,072
  6. Step 6: Final answer
    x = 127,764.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.