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Finding the Third Proportional to 253,150 and 556,828

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Solution

The third proportional to 253,150 and 556,828 is: 1,224,797.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,150 : 556,828 = 556,828 : x
  2. Step 2: Convert to fraction form
    253,150/556,828 = 556,828/x
  3. Step 3: Cross multiply
    253,150x = 556,828 × 556,828
  4. Step 4: Simplify right side
    253,150x = 310,057,421,584
  5. Step 5: Solve for x
    x = 310,057,421,584/253,150
  6. Step 6: Final answer
    x = 1,224,797.24

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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.