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Finding the Third Proportional to 289,829 and 618,177

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Solution

The third proportional to 289,829 and 618,177 is: 1,318,511.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,829 : 618,177 = 618,177 : x
  2. Step 2: Convert to fraction form
    289,829/618,177 = 618,177/x
  3. Step 3: Cross multiply
    289,829x = 618,177 × 618,177
  4. Step 4: Simplify right side
    289,829x = 382,142,803,329
  5. Step 5: Solve for x
    x = 382,142,803,329/289,829
  6. Step 6: Final answer
    x = 1,318,511.27

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Why These Related Problems?

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