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Finding the Third Proportional to 320,286 and 741,383

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Solution

The third proportional to 320,286 and 741,383 is: 1,716,118.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,286 : 741,383 = 741,383 : x
  2. Step 2: Convert to fraction form
    320,286/741,383 = 741,383/x
  3. Step 3: Cross multiply
    320,286x = 741,383 × 741,383
  4. Step 4: Simplify right side
    320,286x = 549,648,752,689
  5. Step 5: Solve for x
    x = 549,648,752,689/320,286
  6. Step 6: Final answer
    x = 1,716,118.57

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.