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Finding the Third Proportional to 280,744 and 613,968

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Solution

The third proportional to 280,744 and 613,968 is: 1,342,706.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,744 : 613,968 = 613,968 : x
  2. Step 2: Convert to fraction form
    280,744/613,968 = 613,968/x
  3. Step 3: Cross multiply
    280,744x = 613,968 × 613,968
  4. Step 4: Simplify right side
    280,744x = 376,956,705,024
  5. Step 5: Solve for x
    x = 376,956,705,024/280,744
  6. Step 6: Final answer
    x = 1,342,706.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.