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Finding the Third Proportional to 313,972 and 671,036

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Solution

The third proportional to 313,972 and 671,036 is: 1,434,170.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,972 : 671,036 = 671,036 : x
  2. Step 2: Convert to fraction form
    313,972/671,036 = 671,036/x
  3. Step 3: Cross multiply
    313,972x = 671,036 × 671,036
  4. Step 4: Simplify right side
    313,972x = 450,289,313,296
  5. Step 5: Solve for x
    x = 450,289,313,296/313,972
  6. Step 6: Final answer
    x = 1,434,170.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.