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Finding the Third Proportional to 92,122 and 135,158

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Solution

The third proportional to 92,122 and 135,158 is: 198,298.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,122 : 135,158 = 135,158 : x
  2. Step 2: Convert to fraction form
    92,122/135,158 = 135,158/x
  3. Step 3: Cross multiply
    92,122x = 135,158 × 135,158
  4. Step 4: Simplify right side
    92,122x = 18,267,684,964
  5. Step 5: Solve for x
    x = 18,267,684,964/92,122
  6. Step 6: Final answer
    x = 198,298.83

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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.