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Finding the Third Proportional to 57,868 and 90,185

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Solution

The third proportional to 57,868 and 90,185 is: 140,549.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,868 : 90,185 = 90,185 : x
  2. Step 2: Convert to fraction form
    57,868/90,185 = 90,185/x
  3. Step 3: Cross multiply
    57,868x = 90,185 × 90,185
  4. Step 4: Simplify right side
    57,868x = 8,133,334,225
  5. Step 5: Solve for x
    x = 8,133,334,225/57,868
  6. Step 6: Final answer
    x = 140,549.77

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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.