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Finding the Third Proportional to 218,196 and 320,100

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Solution

The third proportional to 218,196 and 320,100 is: 469,596.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,196 : 320,100 = 320,100 : x
  2. Step 2: Convert to fraction form
    218,196/320,100 = 320,100/x
  3. Step 3: Cross multiply
    218,196x = 320,100 × 320,100
  4. Step 4: Simplify right side
    218,196x = 102,464,010,000
  5. Step 5: Solve for x
    x = 102,464,010,000/218,196
  6. Step 6: Final answer
    x = 469,596.19

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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.