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Finding the Third Proportional to 293,858 and 636,580

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Solution

The third proportional to 293,858 and 636,580 is: 1,379,013.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,858 : 636,580 = 636,580 : x
  2. Step 2: Convert to fraction form
    293,858/636,580 = 636,580/x
  3. Step 3: Cross multiply
    293,858x = 636,580 × 636,580
  4. Step 4: Simplify right side
    293,858x = 405,234,096,400
  5. Step 5: Solve for x
    x = 405,234,096,400/293,858
  6. Step 6: Final answer
    x = 1,379,013.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.