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Finding the Third Proportional to 305,496 and 670,764

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Solution

The third proportional to 305,496 and 670,764 is: 1,472,766.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,496 : 670,764 = 670,764 : x
  2. Step 2: Convert to fraction form
    305,496/670,764 = 670,764/x
  3. Step 3: Cross multiply
    305,496x = 670,764 × 670,764
  4. Step 4: Simplify right side
    305,496x = 449,924,343,696
  5. Step 5: Solve for x
    x = 449,924,343,696/305,496
  6. Step 6: Final answer
    x = 1,472,766.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.