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Finding the Third Proportional to 316,086 and 685,740

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Solution

The third proportional to 316,086 and 685,740 is: 1,487,694.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,086 : 685,740 = 685,740 : x
  2. Step 2: Convert to fraction form
    316,086/685,740 = 685,740/x
  3. Step 3: Cross multiply
    316,086x = 685,740 × 685,740
  4. Step 4: Simplify right side
    316,086x = 470,239,347,600
  5. Step 5: Solve for x
    x = 470,239,347,600/316,086
  6. Step 6: Final answer
    x = 1,487,694.32

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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.