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Finding the Third Proportional to 492,721 and 741,278

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Solution

The third proportional to 492,721 and 741,278 is: 1,115,221.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,721 : 741,278 = 741,278 : x
  2. Step 2: Convert to fraction form
    492,721/741,278 = 741,278/x
  3. Step 3: Cross multiply
    492,721x = 741,278 × 741,278
  4. Step 4: Simplify right side
    492,721x = 549,493,073,284
  5. Step 5: Solve for x
    x = 549,493,073,284/492,721
  6. Step 6: Final answer
    x = 1,115,221.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.