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Finding the Third Proportional to 390,067 and 618,922

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Solution

The third proportional to 390,067 and 618,922 is: 982,047.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,067 : 618,922 = 618,922 : x
  2. Step 2: Convert to fraction form
    390,067/618,922 = 618,922/x
  3. Step 3: Cross multiply
    390,067x = 618,922 × 618,922
  4. Step 4: Simplify right side
    390,067x = 383,064,442,084
  5. Step 5: Solve for x
    x = 383,064,442,084/390,067
  6. Step 6: Final answer
    x = 982,047.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.