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Finding the Third Proportional to 80,384.50 and 118,253

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Solution

The third proportional to 80,384.50 and 118,253 is: 173,961.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,384.50 : 118,253 = 118,253 : x
  2. Step 2: Convert to fraction form
    80,384.50/118,253 = 118,253/x
  3. Step 3: Cross multiply
    80,384.50x = 118,253 × 118,253
  4. Step 4: Simplify right side
    80,384.50x = 13,983,772,009
  5. Step 5: Solve for x
    x = 13,983,772,009/80,384.50
  6. Step 6: Final answer
    x = 173,961.05

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.