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Finding the Third Proportional to 318,322 and 686,456

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Solution

The third proportional to 318,322 and 686,456 is: 1,480,330.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,322 : 686,456 = 686,456 : x
  2. Step 2: Convert to fraction form
    318,322/686,456 = 686,456/x
  3. Step 3: Cross multiply
    318,322x = 686,456 × 686,456
  4. Step 4: Simplify right side
    318,322x = 471,221,839,936
  5. Step 5: Solve for x
    x = 471,221,839,936/318,322
  6. Step 6: Final answer
    x = 1,480,330.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.