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Finding the Third Proportional to 219,969 and 324,121.50

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Solution

The third proportional to 219,969 and 324,121.50 is: 477,588.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,969 : 324,121.50 = 324,121.50 : x
  2. Step 2: Convert to fraction form
    219,969/324,121.50 = 324,121.50/x
  3. Step 3: Cross multiply
    219,969x = 324,121.50 × 324,121.50
  4. Step 4: Simplify right side
    219,969x = 105,054,746,762.25
  5. Step 5: Solve for x
    x = 105,054,746,762.25/219,969
  6. Step 6: Final answer
    x = 477,588.87

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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.