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Finding the Third Proportional to 401,373 and 550,393

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Solution

The third proportional to 401,373 and 550,393 is: 754,740.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,373 : 550,393 = 550,393 : x
  2. Step 2: Convert to fraction form
    401,373/550,393 = 550,393/x
  3. Step 3: Cross multiply
    401,373x = 550,393 × 550,393
  4. Step 4: Simplify right side
    401,373x = 302,932,454,449
  5. Step 5: Solve for x
    x = 302,932,454,449/401,373
  6. Step 6: Final answer
    x = 754,740.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.