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Finding the Third Proportional to 310,978 and 480,203

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Solution

The third proportional to 310,978 and 480,203 is: 741,515.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,978 : 480,203 = 480,203 : x
  2. Step 2: Convert to fraction form
    310,978/480,203 = 480,203/x
  3. Step 3: Cross multiply
    310,978x = 480,203 × 480,203
  4. Step 4: Simplify right side
    310,978x = 230,594,921,209
  5. Step 5: Solve for x
    x = 230,594,921,209/310,978
  6. Step 6: Final answer
    x = 741,515.22

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