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Finding the Third Proportional to 92,792 and 135,840

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Solution

The third proportional to 92,792 and 135,840 is: 198,858.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,792 : 135,840 = 135,840 : x
  2. Step 2: Convert to fraction form
    92,792/135,840 = 135,840/x
  3. Step 3: Cross multiply
    92,792x = 135,840 × 135,840
  4. Step 4: Simplify right side
    92,792x = 18,452,505,600
  5. Step 5: Solve for x
    x = 18,452,505,600/92,792
  6. Step 6: Final answer
    x = 198,858.80

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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.