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Finding the Third Proportional to 326,920 and 689,336

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Solution

The third proportional to 326,920 and 689,336 is: 1,453,518.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,920 : 689,336 = 689,336 : x
  2. Step 2: Convert to fraction form
    326,920/689,336 = 689,336/x
  3. Step 3: Cross multiply
    326,920x = 689,336 × 689,336
  4. Step 4: Simplify right side
    326,920x = 475,184,120,896
  5. Step 5: Solve for x
    x = 475,184,120,896/326,920
  6. Step 6: Final answer
    x = 1,453,518.05

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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.