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Finding the Third Proportional to 57,081 and 90,906

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Solution

The third proportional to 57,081 and 90,906 is: 144,774.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,081 : 90,906 = 90,906 : x
  2. Step 2: Convert to fraction form
    57,081/90,906 = 90,906/x
  3. Step 3: Cross multiply
    57,081x = 90,906 × 90,906
  4. Step 4: Simplify right side
    57,081x = 8,263,900,836
  5. Step 5: Solve for x
    x = 8,263,900,836/57,081
  6. Step 6: Final answer
    x = 144,774.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.