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Finding the Third Proportional to 76,410.50 and 118,078

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Solution

The third proportional to 76,410.50 and 118,078 is: 182,467.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,410.50 : 118,078 = 118,078 : x
  2. Step 2: Convert to fraction form
    76,410.50/118,078 = 118,078/x
  3. Step 3: Cross multiply
    76,410.50x = 118,078 × 118,078
  4. Step 4: Simplify right side
    76,410.50x = 13,942,414,084
  5. Step 5: Solve for x
    x = 13,942,414,084/76,410.50
  6. Step 6: Final answer
    x = 182,467.25

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.