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Finding the Third Proportional to 318,969 and 660,351

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Solution

The third proportional to 318,969 and 660,351 is: 1,367,102.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,969 : 660,351 = 660,351 : x
  2. Step 2: Convert to fraction form
    318,969/660,351 = 660,351/x
  3. Step 3: Cross multiply
    318,969x = 660,351 × 660,351
  4. Step 4: Simplify right side
    318,969x = 436,063,443,201
  5. Step 5: Solve for x
    x = 436,063,443,201/318,969
  6. Step 6: Final answer
    x = 1,367,102.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.