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Finding the Third Proportional to 203,413.50 and 425,416.50

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Solution

The third proportional to 203,413.50 and 425,416.50 is: 889,710.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,413.50 : 425,416.50 = 425,416.50 : x
  2. Step 2: Convert to fraction form
    203,413.50/425,416.50 = 425,416.50/x
  3. Step 3: Cross multiply
    203,413.50x = 425,416.50 × 425,416.50
  4. Step 4: Simplify right side
    203,413.50x = 180,979,198,472.25
  5. Step 5: Solve for x
    x = 180,979,198,472.25/203,413.50
  6. Step 6: Final answer
    x = 889,710.85

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.