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Finding the Third Proportional to 298,980 and 636,720

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Solution

The third proportional to 298,980 and 636,720 is: 1,355,984.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,980 : 636,720 = 636,720 : x
  2. Step 2: Convert to fraction form
    298,980/636,720 = 636,720/x
  3. Step 3: Cross multiply
    298,980x = 636,720 × 636,720
  4. Step 4: Simplify right side
    298,980x = 405,412,358,400
  5. Step 5: Solve for x
    x = 405,412,358,400/298,980
  6. Step 6: Final answer
    x = 1,355,984.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.