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Finding the Third Proportional to 323,532 and 680,520

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Solution

The third proportional to 323,532 and 680,520 is: 1,431,411.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,532 : 680,520 = 680,520 : x
  2. Step 2: Convert to fraction form
    323,532/680,520 = 680,520/x
  3. Step 3: Cross multiply
    323,532x = 680,520 × 680,520
  4. Step 4: Simplify right side
    323,532x = 463,107,470,400
  5. Step 5: Solve for x
    x = 463,107,470,400/323,532
  6. Step 6: Final answer
    x = 1,431,411.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.