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Finding the Third Proportional to 297,067.13 and 618,614.25

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Solution

The third proportional to 297,067.13 and 618,614.25 is: 1,288,205.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,067.13 : 618,614.25 = 618,614.25 : x
  2. Step 2: Convert to fraction form
    297,067.13/618,614.25 = 618,614.25/x
  3. Step 3: Cross multiply
    297,067.13x = 618,614.25 × 618,614.25
  4. Step 4: Simplify right side
    297,067.13x = 382,683,590,303.06
  5. Step 5: Solve for x
    x = 382,683,590,303.06/297,067.13
  6. Step 6: Final answer
    x = 1,288,205.79

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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.