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Finding the Third Proportional to 321,509.25 and 706,077

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Solution

The third proportional to 321,509.25 and 706,077 is: 1,550,638.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,509.25 : 706,077 = 706,077 : x
  2. Step 2: Convert to fraction form
    321,509.25/706,077 = 706,077/x
  3. Step 3: Cross multiply
    321,509.25x = 706,077 × 706,077
  4. Step 4: Simplify right side
    321,509.25x = 498,544,729,929
  5. Step 5: Solve for x
    x = 498,544,729,929/321,509.25
  6. Step 6: Final answer
    x = 1,550,638.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.