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Finding the Third Proportional to 57,045 and 75,705

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Solution

The third proportional to 57,045 and 75,705 is: 100,468.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,045 : 75,705 = 75,705 : x
  2. Step 2: Convert to fraction form
    57,045/75,705 = 75,705/x
  3. Step 3: Cross multiply
    57,045x = 75,705 × 75,705
  4. Step 4: Simplify right side
    57,045x = 5,731,247,025
  5. Step 5: Solve for x
    x = 5,731,247,025/57,045
  6. Step 6: Final answer
    x = 100,468.88

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.