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Finding the Third Proportional to 327,435.50 and 489,132.50

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Solution

The third proportional to 327,435.50 and 489,132.50 is: 730,680.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,435.50 : 489,132.50 = 489,132.50 : x
  2. Step 2: Convert to fraction form
    327,435.50/489,132.50 = 489,132.50/x
  3. Step 3: Cross multiply
    327,435.50x = 489,132.50 × 489,132.50
  4. Step 4: Simplify right side
    327,435.50x = 239,250,602,556.25
  5. Step 5: Solve for x
    x = 239,250,602,556.25/327,435.50
  6. Step 6: Final answer
    x = 730,680.10

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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.