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Finding the Third Proportional to 321,624 and 480,006

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Solution

The third proportional to 321,624 and 480,006 is: 716,382.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,624 : 480,006 = 480,006 : x
  2. Step 2: Convert to fraction form
    321,624/480,006 = 480,006/x
  3. Step 3: Cross multiply
    321,624x = 480,006 × 480,006
  4. Step 4: Simplify right side
    321,624x = 230,405,760,036
  5. Step 5: Solve for x
    x = 230,405,760,036/321,624
  6. Step 6: Final answer
    x = 716,382.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.