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Finding the Third Proportional to 326,938 and 689,371

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Solution

The third proportional to 326,938 and 689,371 is: 1,453,585.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,938 : 689,371 = 689,371 : x
  2. Step 2: Convert to fraction form
    326,938/689,371 = 689,371/x
  3. Step 3: Cross multiply
    326,938x = 689,371 × 689,371
  4. Step 4: Simplify right side
    326,938x = 475,232,375,641
  5. Step 5: Solve for x
    x = 475,232,375,641/326,938
  6. Step 6: Final answer
    x = 1,453,585.62

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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.