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Finding the Third Proportional to 321,626 and 480,009

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Solution

The third proportional to 321,626 and 480,009 is: 716,386.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,626 : 480,009 = 480,009 : x
  2. Step 2: Convert to fraction form
    321,626/480,009 = 480,009/x
  3. Step 3: Cross multiply
    321,626x = 480,009 × 480,009
  4. Step 4: Simplify right side
    321,626x = 230,408,640,081
  5. Step 5: Solve for x
    x = 230,408,640,081/321,626
  6. Step 6: Final answer
    x = 716,386.86

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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.