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Finding the Third Proportional to 321,645.75 and 471,722.25

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Solution

The third proportional to 321,645.75 and 471,722.25 is: 691,822.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,645.75 : 471,722.25 = 471,722.25 : x
  2. Step 2: Convert to fraction form
    321,645.75/471,722.25 = 471,722.25/x
  3. Step 3: Cross multiply
    321,645.75x = 471,722.25 × 471,722.25
  4. Step 4: Simplify right side
    321,645.75x = 222,521,881,145.06
  5. Step 5: Solve for x
    x = 222,521,881,145.06/321,645.75
  6. Step 6: Final answer
    x = 691,822.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.