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Finding the Third Proportional to 320,256 and 689,994

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Solution

The third proportional to 320,256 and 689,994 is: 1,486,597.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,256 : 689,994 = 689,994 : x
  2. Step 2: Convert to fraction form
    320,256/689,994 = 689,994/x
  3. Step 3: Cross multiply
    320,256x = 689,994 × 689,994
  4. Step 4: Simplify right side
    320,256x = 476,091,720,036
  5. Step 5: Solve for x
    x = 476,091,720,036/320,256
  6. Step 6: Final answer
    x = 1,486,597.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.