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Finding the Third Proportional to 365,557.50 and 489,003.75

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Solution

The third proportional to 365,557.50 and 489,003.75 is: 654,136.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,557.50 : 489,003.75 = 489,003.75 : x
  2. Step 2: Convert to fraction form
    365,557.50/489,003.75 = 489,003.75/x
  3. Step 3: Cross multiply
    365,557.50x = 489,003.75 × 489,003.75
  4. Step 4: Simplify right side
    365,557.50x = 239,124,667,514.06
  5. Step 5: Solve for x
    x = 239,124,667,514.06/365,557.50
  6. Step 6: Final answer
    x = 654,136.95

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.