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Finding the Third Proportional to 80,390 and 118,263

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Solution

The third proportional to 80,390 and 118,263 is: 173,978.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,390 : 118,263 = 118,263 : x
  2. Step 2: Convert to fraction form
    80,390/118,263 = 118,263/x
  3. Step 3: Cross multiply
    80,390x = 118,263 × 118,263
  4. Step 4: Simplify right side
    80,390x = 13,986,137,169
  5. Step 5: Solve for x
    x = 13,986,137,169/80,390
  6. Step 6: Final answer
    x = 173,978.57

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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.