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Finding the Third Proportional to 368,278 and 557,398

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Solution

The third proportional to 368,278 and 557,398 is: 843,635.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,278 : 557,398 = 557,398 : x
  2. Step 2: Convert to fraction form
    368,278/557,398 = 557,398/x
  3. Step 3: Cross multiply
    368,278x = 557,398 × 557,398
  4. Step 4: Simplify right side
    368,278x = 310,692,530,404
  5. Step 5: Solve for x
    x = 310,692,530,404/368,278
  6. Step 6: Final answer
    x = 843,635.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.