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Finding the Third Proportional to 306,578 and 670,180

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Solution

The third proportional to 306,578 and 670,180 is: 1,465,014.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,578 : 670,180 = 670,180 : x
  2. Step 2: Convert to fraction form
    306,578/670,180 = 670,180/x
  3. Step 3: Cross multiply
    306,578x = 670,180 × 670,180
  4. Step 4: Simplify right side
    306,578x = 449,141,232,400
  5. Step 5: Solve for x
    x = 449,141,232,400/306,578
  6. Step 6: Final answer
    x = 1,465,014.56

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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.