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Finding the Third Proportional to 320,278 and 741,367

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Solution

The third proportional to 320,278 and 741,367 is: 1,716,087.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,278 : 741,367 = 741,367 : x
  2. Step 2: Convert to fraction form
    320,278/741,367 = 741,367/x
  3. Step 3: Cross multiply
    320,278x = 741,367 × 741,367
  4. Step 4: Simplify right side
    320,278x = 549,625,028,689
  5. Step 5: Solve for x
    x = 549,625,028,689/320,278
  6. Step 6: Final answer
    x = 1,716,087.36

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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.