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Finding the Third Proportional to 140,413.50 and 216,837

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Solution

The third proportional to 140,413.50 and 216,837 is: 334,855.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,413.50 : 216,837 = 216,837 : x
  2. Step 2: Convert to fraction form
    140,413.50/216,837 = 216,837/x
  3. Step 3: Cross multiply
    140,413.50x = 216,837 × 216,837
  4. Step 4: Simplify right side
    140,413.50x = 47,018,284,569
  5. Step 5: Solve for x
    x = 47,018,284,569/140,413.50
  6. Step 6: Final answer
    x = 334,855.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.