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Finding the Third Proportional to 366,878.50 and 489,218

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Solution

The third proportional to 366,878.50 and 489,218 is: 652,352.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,878.50 : 489,218 = 489,218 : x
  2. Step 2: Convert to fraction form
    366,878.50/489,218 = 489,218/x
  3. Step 3: Cross multiply
    366,878.50x = 489,218 × 489,218
  4. Step 4: Simplify right side
    366,878.50x = 239,334,251,524
  5. Step 5: Solve for x
    x = 239,334,251,524/366,878.50
  6. Step 6: Final answer
    x = 652,352.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.