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Finding the Third Proportional to 303,219 and 643,407

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Solution

The third proportional to 303,219 and 643,407 is: 1,365,259.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,219 : 643,407 = 643,407 : x
  2. Step 2: Convert to fraction form
    303,219/643,407 = 643,407/x
  3. Step 3: Cross multiply
    303,219x = 643,407 × 643,407
  4. Step 4: Simplify right side
    303,219x = 413,972,567,649
  5. Step 5: Solve for x
    x = 413,972,567,649/303,219
  6. Step 6: Final answer
    x = 1,365,259.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.