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Finding the Third Proportional to 268,318 and 363,111

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Solution

The third proportional to 268,318 and 363,111 is: 491,393.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,318 : 363,111 = 363,111 : x
  2. Step 2: Convert to fraction form
    268,318/363,111 = 363,111/x
  3. Step 3: Cross multiply
    268,318x = 363,111 × 363,111
  4. Step 4: Simplify right side
    268,318x = 131,849,598,321
  5. Step 5: Solve for x
    x = 131,849,598,321/268,318
  6. Step 6: Final answer
    x = 491,393.04

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.