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Finding the Third Proportional to 328,014 and 489,489.50

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Solution

The third proportional to 328,014 and 489,489.50 is: 730,456.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,014 : 489,489.50 = 489,489.50 : x
  2. Step 2: Convert to fraction form
    328,014/489,489.50 = 489,489.50/x
  3. Step 3: Cross multiply
    328,014x = 489,489.50 × 489,489.50
  4. Step 4: Simplify right side
    328,014x = 239,599,970,610.25
  5. Step 5: Solve for x
    x = 239,599,970,610.25/328,014
  6. Step 6: Final answer
    x = 730,456.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.