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Finding the Third Proportional to 310,923 and 480,127.50

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Solution

The third proportional to 310,923 and 480,127.50 is: 741,413.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,923 : 480,127.50 = 480,127.50 : x
  2. Step 2: Convert to fraction form
    310,923/480,127.50 = 480,127.50/x
  3. Step 3: Cross multiply
    310,923x = 480,127.50 × 480,127.50
  4. Step 4: Simplify right side
    310,923x = 230,522,416,256.25
  5. Step 5: Solve for x
    x = 230,522,416,256.25/310,923
  6. Step 6: Final answer
    x = 741,413.20

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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.