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Finding the Third Proportional to 321,673 and 696,303

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Solution

The third proportional to 321,673 and 696,303 is: 1,507,238.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,673 : 696,303 = 696,303 : x
  2. Step 2: Convert to fraction form
    321,673/696,303 = 696,303/x
  3. Step 3: Cross multiply
    321,673x = 696,303 × 696,303
  4. Step 4: Simplify right side
    321,673x = 484,837,867,809
  5. Step 5: Solve for x
    x = 484,837,867,809/321,673
  6. Step 6: Final answer
    x = 1,507,238.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.