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Finding the Third Proportional to 90,816 and 134,928

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Solution

The third proportional to 90,816 and 134,928 is: 200,466.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,816 : 134,928 = 134,928 : x
  2. Step 2: Convert to fraction form
    90,816/134,928 = 134,928/x
  3. Step 3: Cross multiply
    90,816x = 134,928 × 134,928
  4. Step 4: Simplify right side
    90,816x = 18,205,565,184
  5. Step 5: Solve for x
    x = 18,205,565,184/90,816
  6. Step 6: Final answer
    x = 200,466.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.