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Finding the Third Proportional to 187,413.75 and 290,278.69

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Solution

The third proportional to 187,413.75 and 290,278.69 is: 449,602.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,413.75 : 290,278.69 = 290,278.69 : x
  2. Step 2: Convert to fraction form
    187,413.75/290,278.69 = 290,278.69/x
  3. Step 3: Cross multiply
    187,413.75x = 290,278.69 × 290,278.69
  4. Step 4: Simplify right side
    187,413.75x = 84,261,716,416.72
  5. Step 5: Solve for x
    x = 84,261,716,416.72/187,413.75
  6. Step 6: Final answer
    x = 449,602.64

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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.