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Finding the Third Proportional to 298,982 and 636,724

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Solution

The third proportional to 298,982 and 636,724 is: 1,355,992.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,982 : 636,724 = 636,724 : x
  2. Step 2: Convert to fraction form
    298,982/636,724 = 636,724/x
  3. Step 3: Cross multiply
    298,982x = 636,724 × 636,724
  4. Step 4: Simplify right side
    298,982x = 405,417,452,176
  5. Step 5: Solve for x
    x = 405,417,452,176/298,982
  6. Step 6: Final answer
    x = 1,355,992.84

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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.