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Finding the Third Proportional to 236,421 and 512,163

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Solution

The third proportional to 236,421 and 512,163 is: 1,109,507.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,421 : 512,163 = 512,163 : x
  2. Step 2: Convert to fraction form
    236,421/512,163 = 512,163/x
  3. Step 3: Cross multiply
    236,421x = 512,163 × 512,163
  4. Step 4: Simplify right side
    236,421x = 262,310,938,569
  5. Step 5: Solve for x
    x = 262,310,938,569/236,421
  6. Step 6: Final answer
    x = 1,109,507.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.