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Finding the Third Proportional to 301,687 and 447,313

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Solution

The third proportional to 301,687 and 447,313 is: 663,233.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,687 : 447,313 = 447,313 : x
  2. Step 2: Convert to fraction form
    301,687/447,313 = 447,313/x
  3. Step 3: Cross multiply
    301,687x = 447,313 × 447,313
  4. Step 4: Simplify right side
    301,687x = 200,088,919,969
  5. Step 5: Solve for x
    x = 200,088,919,969/301,687
  6. Step 6: Final answer
    x = 663,233.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.