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Finding the Third Proportional to 252,803 and 556,447

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Solution

The third proportional to 252,803 and 556,447 is: 1,224,800.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,803 : 556,447 = 556,447 : x
  2. Step 2: Convert to fraction form
    252,803/556,447 = 556,447/x
  3. Step 3: Cross multiply
    252,803x = 556,447 × 556,447
  4. Step 4: Simplify right side
    252,803x = 309,633,263,809
  5. Step 5: Solve for x
    x = 309,633,263,809/252,803
  6. Step 6: Final answer
    x = 1,224,800.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.