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Finding the Third Proportional to 315,607.50 and 488,922.75

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Solution

The third proportional to 315,607.50 and 488,922.75 is: 757,413.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,607.50 : 488,922.75 = 488,922.75 : x
  2. Step 2: Convert to fraction form
    315,607.50/488,922.75 = 488,922.75/x
  3. Step 3: Cross multiply
    315,607.50x = 488,922.75 × 488,922.75
  4. Step 4: Simplify right side
    315,607.50x = 239,045,455,467.56
  5. Step 5: Solve for x
    x = 239,045,455,467.56/315,607.50
  6. Step 6: Final answer
    x = 757,413.74

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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.