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Finding the Third Proportional to 216,318 and 296,770.50

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Solution

The third proportional to 216,318 and 296,770.50 is: 407,144.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,318 : 296,770.50 = 296,770.50 : x
  2. Step 2: Convert to fraction form
    216,318/296,770.50 = 296,770.50/x
  3. Step 3: Cross multiply
    216,318x = 296,770.50 × 296,770.50
  4. Step 4: Simplify right side
    216,318x = 88,072,729,670.25
  5. Step 5: Solve for x
    x = 88,072,729,670.25/216,318
  6. Step 6: Final answer
    x = 407,144.71

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.