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Finding the Third Proportional to 327,403.69 and 489,088.69

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Solution

The third proportional to 327,403.69 and 489,088.69 is: 730,620.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,403.69 : 489,088.69 = 489,088.69 : x
  2. Step 2: Convert to fraction form
    327,403.69/489,088.69 = 489,088.69/x
  3. Step 3: Cross multiply
    327,403.69x = 489,088.69 × 489,088.69
  4. Step 4: Simplify right side
    327,403.69x = 239,207,744,240.47
  5. Step 5: Solve for x
    x = 239,207,744,240.47/327,403.69
  6. Step 6: Final answer
    x = 730,620.19

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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.