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Finding the Third Proportional to 312,424 and 686,286

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Solution

The third proportional to 312,424 and 686,286 is: 1,507,529.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,424 : 686,286 = 686,286 : x
  2. Step 2: Convert to fraction form
    312,424/686,286 = 686,286/x
  3. Step 3: Cross multiply
    312,424x = 686,286 × 686,286
  4. Step 4: Simplify right side
    312,424x = 470,988,473,796
  5. Step 5: Solve for x
    x = 470,988,473,796/312,424
  6. Step 6: Final answer
    x = 1,507,529.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.