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Finding the Third Proportional to 280,592 and 613,672

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Solution

The third proportional to 280,592 and 613,672 is: 1,342,138.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,592 : 613,672 = 613,672 : x
  2. Step 2: Convert to fraction form
    280,592/613,672 = 613,672/x
  3. Step 3: Cross multiply
    280,592x = 613,672 × 613,672
  4. Step 4: Simplify right side
    280,592x = 376,593,323,584
  5. Step 5: Solve for x
    x = 376,593,323,584/280,592
  6. Step 6: Final answer
    x = 1,342,138.49

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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.