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Finding the Third Proportional to 92,448 and 135,381.38

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Solution

The third proportional to 92,448 and 135,381.38 is: 198,253.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,448 : 135,381.38 = 135,381.38 : x
  2. Step 2: Convert to fraction form
    92,448/135,381.38 = 135,381.38/x
  3. Step 3: Cross multiply
    92,448x = 135,381.38 × 135,381.38
  4. Step 4: Simplify right side
    92,448x = 18,328,116,696.89
  5. Step 5: Solve for x
    x = 18,328,116,696.89/92,448
  6. Step 6: Final answer
    x = 198,253.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.