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Finding the Third Proportional to 289,823.34 and 618,163.88

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Solution

The third proportional to 289,823.34 and 618,163.88 is: 1,318,481.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,823.34 : 618,163.88 = 618,163.88 : x
  2. Step 2: Convert to fraction form
    289,823.34/618,163.88 = 618,163.88/x
  3. Step 3: Cross multiply
    289,823.34x = 618,163.88 × 618,163.88
  4. Step 4: Simplify right side
    289,823.34x = 382,126,576,355.02
  5. Step 5: Solve for x
    x = 382,126,576,355.02/289,823.34
  6. Step 6: Final answer
    x = 1,318,481.01

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.