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Finding the Third Proportional to 310,869 and 480,039

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Solution

The third proportional to 310,869 and 480,039 is: 741,268.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,869 : 480,039 = 480,039 : x
  2. Step 2: Convert to fraction form
    310,869/480,039 = 480,039/x
  3. Step 3: Cross multiply
    310,869x = 480,039 × 480,039
  4. Step 4: Simplify right side
    310,869x = 230,437,441,521
  5. Step 5: Solve for x
    x = 230,437,441,521/310,869
  6. Step 6: Final answer
    x = 741,268.64

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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.