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Finding the Third Proportional to 307,420 and 660,764

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Solution

The third proportional to 307,420 and 660,764 is: 1,420,236.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,420 : 660,764 = 660,764 : x
  2. Step 2: Convert to fraction form
    307,420/660,764 = 660,764/x
  3. Step 3: Cross multiply
    307,420x = 660,764 × 660,764
  4. Step 4: Simplify right side
    307,420x = 436,609,063,696
  5. Step 5: Solve for x
    x = 436,609,063,696/307,420
  6. Step 6: Final answer
    x = 1,420,236.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.