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Finding the Third Proportional to 315,451.97 and 489,379.22

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Solution

The third proportional to 315,451.97 and 489,379.22 is: 759,202.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,451.97 : 489,379.22 = 489,379.22 : x
  2. Step 2: Convert to fraction form
    315,451.97/489,379.22 = 489,379.22/x
  3. Step 3: Cross multiply
    315,451.97x = 489,379.22 × 489,379.22
  4. Step 4: Simplify right side
    315,451.97x = 239,492,019,744.36
  5. Step 5: Solve for x
    x = 239,492,019,744.36/315,451.97
  6. Step 6: Final answer
    x = 759,202.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.