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Finding the Third Proportional to 92,050 and 135,040

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Solution

The third proportional to 92,050 and 135,040 is: 198,107.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,050 : 135,040 = 135,040 : x
  2. Step 2: Convert to fraction form
    92,050/135,040 = 135,040/x
  3. Step 3: Cross multiply
    92,050x = 135,040 × 135,040
  4. Step 4: Simplify right side
    92,050x = 18,235,801,600
  5. Step 5: Solve for x
    x = 18,235,801,600/92,050
  6. Step 6: Final answer
    x = 198,107.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.