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Finding the Third Proportional to 325,971 and 687,339

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Solution

The third proportional to 325,971 and 687,339 is: 1,449,315.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,971 : 687,339 = 687,339 : x
  2. Step 2: Convert to fraction form
    325,971/687,339 = 687,339/x
  3. Step 3: Cross multiply
    325,971x = 687,339 × 687,339
  4. Step 4: Simplify right side
    325,971x = 472,434,900,921
  5. Step 5: Solve for x
    x = 472,434,900,921/325,971
  6. Step 6: Final answer
    x = 1,449,315.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.