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Finding the Third Proportional to 131,517 and 203,413.50

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Solution

The third proportional to 131,517 and 203,413.50 is: 314,613.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,517 : 203,413.50 = 203,413.50 : x
  2. Step 2: Convert to fraction form
    131,517/203,413.50 = 203,413.50/x
  3. Step 3: Cross multiply
    131,517x = 203,413.50 × 203,413.50
  4. Step 4: Simplify right side
    131,517x = 41,377,051,982.25
  5. Step 5: Solve for x
    x = 41,377,051,982.25/131,517
  6. Step 6: Final answer
    x = 314,613.72

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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.