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Finding the Third Proportional to 307,424 and 660,772

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Solution

The third proportional to 307,424 and 660,772 is: 1,420,252.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,424 : 660,772 = 660,772 : x
  2. Step 2: Convert to fraction form
    307,424/660,772 = 660,772/x
  3. Step 3: Cross multiply
    307,424x = 660,772 × 660,772
  4. Step 4: Simplify right side
    307,424x = 436,619,635,984
  5. Step 5: Solve for x
    x = 436,619,635,984/307,424
  6. Step 6: Final answer
    x = 1,420,252.28

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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.