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Finding the Third Proportional to 310,976 and 480,200

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Solution

The third proportional to 310,976 and 480,200 is: 741,510.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,976 : 480,200 = 480,200 : x
  2. Step 2: Convert to fraction form
    310,976/480,200 = 480,200/x
  3. Step 3: Cross multiply
    310,976x = 480,200 × 480,200
  4. Step 4: Simplify right side
    310,976x = 230,592,040,000
  5. Step 5: Solve for x
    x = 230,592,040,000/310,976
  6. Step 6: Final answer
    x = 741,510.73

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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.