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Finding the Third Proportional to 366,876.50 and 489,215

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Solution

The third proportional to 366,876.50 and 489,215 is: 652,348.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,876.50 : 489,215 = 489,215 : x
  2. Step 2: Convert to fraction form
    366,876.50/489,215 = 489,215/x
  3. Step 3: Cross multiply
    366,876.50x = 489,215 × 489,215
  4. Step 4: Simplify right side
    366,876.50x = 239,331,316,225
  5. Step 5: Solve for x
    x = 239,331,316,225/366,876.50
  6. Step 6: Final answer
    x = 652,348.45

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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.