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Finding the Third Proportional to 319,689 and 689,238

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Solution

The third proportional to 319,689 and 689,238 is: 1,485,972.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,689 : 689,238 = 689,238 : x
  2. Step 2: Convert to fraction form
    319,689/689,238 = 689,238/x
  3. Step 3: Cross multiply
    319,689x = 689,238 × 689,238
  4. Step 4: Simplify right side
    319,689x = 475,049,020,644
  5. Step 5: Solve for x
    x = 475,049,020,644/319,689
  6. Step 6: Final answer
    x = 1,485,972.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.