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Finding the Third Proportional to 320,268 and 741,342

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Solution

The third proportional to 320,268 and 741,342 is: 1,716,025.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,268 : 741,342 = 741,342 : x
  2. Step 2: Convert to fraction form
    320,268/741,342 = 741,342/x
  3. Step 3: Cross multiply
    320,268x = 741,342 × 741,342
  4. Step 4: Simplify right side
    320,268x = 549,587,960,964
  5. Step 5: Solve for x
    x = 549,587,960,964/320,268
  6. Step 6: Final answer
    x = 1,716,025.21

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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.