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Finding the Third Proportional to 310,804 and 479,934

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Solution

The third proportional to 310,804 and 479,934 is: 741,099.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,804 : 479,934 = 479,934 : x
  2. Step 2: Convert to fraction form
    310,804/479,934 = 479,934/x
  3. Step 3: Cross multiply
    310,804x = 479,934 × 479,934
  4. Step 4: Simplify right side
    310,804x = 230,336,644,356
  5. Step 5: Solve for x
    x = 230,336,644,356/310,804
  6. Step 6: Final answer
    x = 741,099.36

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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.