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Finding the Third Proportional to 252,720 and 544,608

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Solution

The third proportional to 252,720 and 544,608 is: 1,173,622.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,720 : 544,608 = 544,608 : x
  2. Step 2: Convert to fraction form
    252,720/544,608 = 544,608/x
  3. Step 3: Cross multiply
    252,720x = 544,608 × 544,608
  4. Step 4: Simplify right side
    252,720x = 296,597,873,664
  5. Step 5: Solve for x
    x = 296,597,873,664/252,720
  6. Step 6: Final answer
    x = 1,173,622.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.