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Finding the Third Proportional to 319,992 and 687,426

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Solution

The third proportional to 319,992 and 687,426 is: 1,476,769.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,992 : 687,426 = 687,426 : x
  2. Step 2: Convert to fraction form
    319,992/687,426 = 687,426/x
  3. Step 3: Cross multiply
    319,992x = 687,426 × 687,426
  4. Step 4: Simplify right side
    319,992x = 472,554,505,476
  5. Step 5: Solve for x
    x = 472,554,505,476/319,992
  6. Step 6: Final answer
    x = 1,476,769.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.