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Finding the Third Proportional to 211,430 and 289,926

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Solution

The third proportional to 211,430 and 289,926 is: 397,564.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,430 : 289,926 = 289,926 : x
  2. Step 2: Convert to fraction form
    211,430/289,926 = 289,926/x
  3. Step 3: Cross multiply
    211,430x = 289,926 × 289,926
  4. Step 4: Simplify right side
    211,430x = 84,057,085,476
  5. Step 5: Solve for x
    x = 84,057,085,476/211,430
  6. Step 6: Final answer
    x = 397,564.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.