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Finding the Third Proportional to 310,932 and 480,141

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Solution

The third proportional to 310,932 and 480,141 is: 741,433.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,932 : 480,141 = 480,141 : x
  2. Step 2: Convert to fraction form
    310,932/480,141 = 480,141/x
  3. Step 3: Cross multiply
    310,932x = 480,141 × 480,141
  4. Step 4: Simplify right side
    310,932x = 230,535,379,881
  5. Step 5: Solve for x
    x = 230,535,379,881/310,932
  6. Step 6: Final answer
    x = 741,433.43

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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.