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Finding the Third Proportional to 288,867 and 446,413

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Solution

The third proportional to 288,867 and 446,413 is: 689,883.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,867 : 446,413 = 446,413 : x
  2. Step 2: Convert to fraction form
    288,867/446,413 = 446,413/x
  3. Step 3: Cross multiply
    288,867x = 446,413 × 446,413
  4. Step 4: Simplify right side
    288,867x = 199,284,566,569
  5. Step 5: Solve for x
    x = 199,284,566,569/288,867
  6. Step 6: Final answer
    x = 689,883.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.