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Finding the Third Proportional to 313,924 and 686,162

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Solution

The third proportional to 313,924 and 686,162 is: 1,499,784.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,924 : 686,162 = 686,162 : x
  2. Step 2: Convert to fraction form
    313,924/686,162 = 686,162/x
  3. Step 3: Cross multiply
    313,924x = 686,162 × 686,162
  4. Step 4: Simplify right side
    313,924x = 470,818,290,244
  5. Step 5: Solve for x
    x = 470,818,290,244/313,924
  6. Step 6: Final answer
    x = 1,499,784.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.