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Finding the Third Proportional to 252,774 and 556,389

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Solution

The third proportional to 252,774 and 556,389 is: 1,224,685.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,774 : 556,389 = 556,389 : x
  2. Step 2: Convert to fraction form
    252,774/556,389 = 556,389/x
  3. Step 3: Cross multiply
    252,774x = 556,389 × 556,389
  4. Step 4: Simplify right side
    252,774x = 309,568,719,321
  5. Step 5: Solve for x
    x = 309,568,719,321/252,774
  6. Step 6: Final answer
    x = 1,224,685.76

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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.