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Finding the Third Proportional to 89,274 and 118,480

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Solution

The third proportional to 89,274 and 118,480 is: 157,240.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,274 : 118,480 = 118,480 : x
  2. Step 2: Convert to fraction form
    89,274/118,480 = 118,480/x
  3. Step 3: Cross multiply
    89,274x = 118,480 × 118,480
  4. Step 4: Simplify right side
    89,274x = 14,037,510,400
  5. Step 5: Solve for x
    x = 14,037,510,400/89,274
  6. Step 6: Final answer
    x = 157,240.75

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.