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Finding the Third Proportional to 326,922 and 689,340

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Solution

The third proportional to 326,922 and 689,340 is: 1,453,526.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,922 : 689,340 = 689,340 : x
  2. Step 2: Convert to fraction form
    326,922/689,340 = 689,340/x
  3. Step 3: Cross multiply
    326,922x = 689,340 × 689,340
  4. Step 4: Simplify right side
    326,922x = 475,189,635,600
  5. Step 5: Solve for x
    x = 475,189,635,600/326,922
  6. Step 6: Final answer
    x = 1,453,526.03

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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.