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Finding the Third Proportional to 309,208 and 440,988

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Solution

The third proportional to 309,208 and 440,988 is: 628,930.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,208 : 440,988 = 440,988 : x
  2. Step 2: Convert to fraction form
    309,208/440,988 = 440,988/x
  3. Step 3: Cross multiply
    309,208x = 440,988 × 440,988
  4. Step 4: Simplify right side
    309,208x = 194,470,416,144
  5. Step 5: Solve for x
    x = 194,470,416,144/309,208
  6. Step 6: Final answer
    x = 628,930.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.