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Finding the Third Proportional to 145,413.75 and 218,274.38

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Solution

The third proportional to 145,413.75 and 218,274.38 is: 327,642.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,413.75 : 218,274.38 = 218,274.38 : x
  2. Step 2: Convert to fraction form
    145,413.75/218,274.38 = 218,274.38/x
  3. Step 3: Cross multiply
    145,413.75x = 218,274.38 × 218,274.38
  4. Step 4: Simplify right side
    145,413.75x = 47,643,702,781.64
  5. Step 5: Solve for x
    x = 47,643,702,781.64/145,413.75
  6. Step 6: Final answer
    x = 327,642.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.