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Finding the Third Proportional to 254,254 and 557,351

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Solution

The third proportional to 254,254 and 557,351 is: 1,221,770.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,254 : 557,351 = 557,351 : x
  2. Step 2: Convert to fraction form
    254,254/557,351 = 557,351/x
  3. Step 3: Cross multiply
    254,254x = 557,351 × 557,351
  4. Step 4: Simplify right side
    254,254x = 310,640,137,201
  5. Step 5: Solve for x
    x = 310,640,137,201/254,254
  6. Step 6: Final answer
    x = 1,221,770.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.