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Finding the Third Proportional to 316,688 and 664,096

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Solution

The third proportional to 316,688 and 664,096 is: 1,392,611.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,688 : 664,096 = 664,096 : x
  2. Step 2: Convert to fraction form
    316,688/664,096 = 664,096/x
  3. Step 3: Cross multiply
    316,688x = 664,096 × 664,096
  4. Step 4: Simplify right side
    316,688x = 441,023,497,216
  5. Step 5: Solve for x
    x = 441,023,497,216/316,688
  6. Step 6: Final answer
    x = 1,392,611.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.