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Finding the Third Proportional to 308,322 and 669,056

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Solution

The third proportional to 308,322 and 669,056 is: 1,451,845.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,322 : 669,056 = 669,056 : x
  2. Step 2: Convert to fraction form
    308,322/669,056 = 669,056/x
  3. Step 3: Cross multiply
    308,322x = 669,056 × 669,056
  4. Step 4: Simplify right side
    308,322x = 447,635,931,136
  5. Step 5: Solve for x
    x = 447,635,931,136/308,322
  6. Step 6: Final answer
    x = 1,451,845.57

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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.