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Finding the Third Proportional to 201,611 and 297,820

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Solution

The third proportional to 201,611 and 297,820 is: 439,940.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,611 : 297,820 = 297,820 : x
  2. Step 2: Convert to fraction form
    201,611/297,820 = 297,820/x
  3. Step 3: Cross multiply
    201,611x = 297,820 × 297,820
  4. Step 4: Simplify right side
    201,611x = 88,696,752,400
  5. Step 5: Solve for x
    x = 88,696,752,400/201,611
  6. Step 6: Final answer
    x = 439,940.04

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.