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Finding the Third Proportional to 211,902 and 320,013

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Solution

The third proportional to 211,902 and 320,013 is: 483,281.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,902 : 320,013 = 320,013 : x
  2. Step 2: Convert to fraction form
    211,902/320,013 = 320,013/x
  3. Step 3: Cross multiply
    211,902x = 320,013 × 320,013
  4. Step 4: Simplify right side
    211,902x = 102,408,320,169
  5. Step 5: Solve for x
    x = 102,408,320,169/211,902
  6. Step 6: Final answer
    x = 483,281.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.