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Finding the Third Proportional to 323,420 and 680,352

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Solution

The third proportional to 323,420 and 680,352 is: 1,431,200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,420 : 680,352 = 680,352 : x
  2. Step 2: Convert to fraction form
    323,420/680,352 = 680,352/x
  3. Step 3: Cross multiply
    323,420x = 680,352 × 680,352
  4. Step 4: Simplify right side
    323,420x = 462,878,843,904
  5. Step 5: Solve for x
    x = 462,878,843,904/323,420
  6. Step 6: Final answer
    x = 1,431,200.43

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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.