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Finding the Third Proportional to 363,869 and 521,044

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Solution

The third proportional to 363,869 and 521,044 is: 746,111.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,869 : 521,044 = 521,044 : x
  2. Step 2: Convert to fraction form
    363,869/521,044 = 521,044/x
  3. Step 3: Cross multiply
    363,869x = 521,044 × 521,044
  4. Step 4: Simplify right side
    363,869x = 271,486,849,936
  5. Step 5: Solve for x
    x = 271,486,849,936/363,869
  6. Step 6: Final answer
    x = 746,111.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.