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Finding the Third Proportional to 57,078 and 90,902

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Solution

The third proportional to 57,078 and 90,902 is: 144,769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,078 : 90,902 = 90,902 : x
  2. Step 2: Convert to fraction form
    57,078/90,902 = 90,902/x
  3. Step 3: Cross multiply
    57,078x = 90,902 × 90,902
  4. Step 4: Simplify right side
    57,078x = 8,263,173,604
  5. Step 5: Solve for x
    x = 8,263,173,604/57,078
  6. Step 6: Final answer
    x = 144,769.85

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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.