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Finding the Third Proportional to 297,071 and 618,622

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Solution

The third proportional to 297,071 and 618,622 is: 1,288,221.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,071 : 618,622 = 618,622 : x
  2. Step 2: Convert to fraction form
    297,071/618,622 = 618,622/x
  3. Step 3: Cross multiply
    297,071x = 618,622 × 618,622
  4. Step 4: Simplify right side
    297,071x = 382,693,178,884
  5. Step 5: Solve for x
    x = 382,693,178,884/297,071
  6. Step 6: Final answer
    x = 1,288,221.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.