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Finding the Third Proportional to 319,876 and 684,040

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Solution

The third proportional to 319,876 and 684,040 is: 1,462,787.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,876 : 684,040 = 684,040 : x
  2. Step 2: Convert to fraction form
    319,876/684,040 = 684,040/x
  3. Step 3: Cross multiply
    319,876x = 684,040 × 684,040
  4. Step 4: Simplify right side
    319,876x = 467,910,721,600
  5. Step 5: Solve for x
    x = 467,910,721,600/319,876
  6. Step 6: Final answer
    x = 1,462,787.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.