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Finding the Third Proportional to 683,786 and 1,487,979

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Solution

The third proportional to 683,786 and 1,487,979 is: 3,237,974.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,786 : 1,487,979 = 1,487,979 : x
  2. Step 2: Convert to fraction form
    683,786/1,487,979 = 1,487,979/x
  3. Step 3: Cross multiply
    683,786x = 1,487,979 × 1,487,979
  4. Step 4: Simplify right side
    683,786x = 2,214,081,504,441
  5. Step 5: Solve for x
    x = 2,214,081,504,441/683,786
  6. Step 6: Final answer
    x = 3,237,974.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.