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Finding the Third Proportional to 255,112 and 556,849

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Solution

The third proportional to 255,112 and 556,849 is: 1,215,469.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,112 : 556,849 = 556,849 : x
  2. Step 2: Convert to fraction form
    255,112/556,849 = 556,849/x
  3. Step 3: Cross multiply
    255,112x = 556,849 × 556,849
  4. Step 4: Simplify right side
    255,112x = 310,080,808,801
  5. Step 5: Solve for x
    x = 310,080,808,801/255,112
  6. Step 6: Final answer
    x = 1,215,469.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.