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Finding the Third Proportional to 281,489 and 436,515

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Solution

The third proportional to 281,489 and 436,515 is: 676,919.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,489 : 436,515 = 436,515 : x
  2. Step 2: Convert to fraction form
    281,489/436,515 = 436,515/x
  3. Step 3: Cross multiply
    281,489x = 436,515 × 436,515
  4. Step 4: Simplify right side
    281,489x = 190,545,345,225
  5. Step 5: Solve for x
    x = 190,545,345,225/281,489
  6. Step 6: Final answer
    x = 676,919.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.