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Finding the Third Proportional to 434,523 and 682,512

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Solution

The third proportional to 434,523 and 682,512 is: 1,072,032.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,523 : 682,512 = 682,512 : x
  2. Step 2: Convert to fraction form
    434,523/682,512 = 682,512/x
  3. Step 3: Cross multiply
    434,523x = 682,512 × 682,512
  4. Step 4: Simplify right side
    434,523x = 465,822,630,144
  5. Step 5: Solve for x
    x = 465,822,630,144/434,523
  6. Step 6: Final answer
    x = 1,072,032.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.