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Finding the Third Proportional to 323,403 and 680,319

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Solution

The third proportional to 323,403 and 680,319 is: 1,431,136.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,403 : 680,319 = 680,319 : x
  2. Step 2: Convert to fraction form
    323,403/680,319 = 680,319/x
  3. Step 3: Cross multiply
    323,403x = 680,319 × 680,319
  4. Step 4: Simplify right side
    323,403x = 462,833,941,761
  5. Step 5: Solve for x
    x = 462,833,941,761/323,403
  6. Step 6: Final answer
    x = 1,431,136.82

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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.