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Finding the Third Proportional to 212,431.50 and 345,096

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Solution

The third proportional to 212,431.50 and 345,096 is: 560,610.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,431.50 : 345,096 = 345,096 : x
  2. Step 2: Convert to fraction form
    212,431.50/345,096 = 345,096/x
  3. Step 3: Cross multiply
    212,431.50x = 345,096 × 345,096
  4. Step 4: Simplify right side
    212,431.50x = 119,091,249,216
  5. Step 5: Solve for x
    x = 119,091,249,216/212,431.50
  6. Step 6: Final answer
    x = 560,610.12

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.