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Finding the Third Proportional to 308,956 and 676,964

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Solution

The third proportional to 308,956 and 676,964 is: 1,483,318.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,956 : 676,964 = 676,964 : x
  2. Step 2: Convert to fraction form
    308,956/676,964 = 676,964/x
  3. Step 3: Cross multiply
    308,956x = 676,964 × 676,964
  4. Step 4: Simplify right side
    308,956x = 458,280,257,296
  5. Step 5: Solve for x
    x = 458,280,257,296/308,956
  6. Step 6: Final answer
    x = 1,483,318.85

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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.