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Finding the Third Proportional to 309,696 and 670,080

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Solution

The third proportional to 309,696 and 670,080 is: 1,449,832.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,696 : 670,080 = 670,080 : x
  2. Step 2: Convert to fraction form
    309,696/670,080 = 670,080/x
  3. Step 3: Cross multiply
    309,696x = 670,080 × 670,080
  4. Step 4: Simplify right side
    309,696x = 449,007,206,400
  5. Step 5: Solve for x
    x = 449,007,206,400/309,696
  6. Step 6: Final answer
    x = 1,449,832.11

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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.