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Finding the Third Proportional to 219,321 and 321,377.25

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Solution

The third proportional to 219,321 and 321,377.25 is: 470,923.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,321 : 321,377.25 = 321,377.25 : x
  2. Step 2: Convert to fraction form
    219,321/321,377.25 = 321,377.25/x
  3. Step 3: Cross multiply
    219,321x = 321,377.25 × 321,377.25
  4. Step 4: Simplify right side
    219,321x = 103,283,336,817.56
  5. Step 5: Solve for x
    x = 103,283,336,817.56/219,321
  6. Step 6: Final answer
    x = 470,923.15

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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.