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Finding the Third Proportional to 211,909 and 320,024

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Solution

The third proportional to 211,909 and 320,024 is: 483,298.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,909 : 320,024 = 320,024 : x
  2. Step 2: Convert to fraction form
    211,909/320,024 = 320,024/x
  3. Step 3: Cross multiply
    211,909x = 320,024 × 320,024
  4. Step 4: Simplify right side
    211,909x = 102,415,360,576
  5. Step 5: Solve for x
    x = 102,415,360,576/211,909
  6. Step 6: Final answer
    x = 483,298.78

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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.