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Finding the Third Proportional to 311,907 and 656,409

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Solution

The third proportional to 311,907 and 656,409 is: 1,381,414.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,907 : 656,409 = 656,409 : x
  2. Step 2: Convert to fraction form
    311,907/656,409 = 656,409/x
  3. Step 3: Cross multiply
    311,907x = 656,409 × 656,409
  4. Step 4: Simplify right side
    311,907x = 430,872,775,281
  5. Step 5: Solve for x
    x = 430,872,775,281/311,907
  6. Step 6: Final answer
    x = 1,381,414.25

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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.