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Finding the Third Proportional to 254,380 and 552,498

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Solution

The third proportional to 254,380 and 552,498 is: 1,199,992.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,380 : 552,498 = 552,498 : x
  2. Step 2: Convert to fraction form
    254,380/552,498 = 552,498/x
  3. Step 3: Cross multiply
    254,380x = 552,498 × 552,498
  4. Step 4: Simplify right side
    254,380x = 305,254,040,004
  5. Step 5: Solve for x
    x = 305,254,040,004/254,380
  6. Step 6: Final answer
    x = 1,199,992.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.