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Finding the Third Proportional to 306,960 and 670,800

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Solution

The third proportional to 306,960 and 670,800 is: 1,465,899.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,960 : 670,800 = 670,800 : x
  2. Step 2: Convert to fraction form
    306,960/670,800 = 670,800/x
  3. Step 3: Cross multiply
    306,960x = 670,800 × 670,800
  4. Step 4: Simplify right side
    306,960x = 449,972,640,000
  5. Step 5: Solve for x
    x = 449,972,640,000/306,960
  6. Step 6: Final answer
    x = 1,465,899.92

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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.