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Finding the Third Proportional to 250,430 and 556,843

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Solution

The third proportional to 250,430 and 556,843 is: 1,238,166.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,430 : 556,843 = 556,843 : x
  2. Step 2: Convert to fraction form
    250,430/556,843 = 556,843/x
  3. Step 3: Cross multiply
    250,430x = 556,843 × 556,843
  4. Step 4: Simplify right side
    250,430x = 310,074,126,649
  5. Step 5: Solve for x
    x = 310,074,126,649/250,430
  6. Step 6: Final answer
    x = 1,238,166.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.