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Finding the Third Proportional to 307,957.50 and 661,923

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Solution

The third proportional to 307,957.50 and 661,923 is: 1,422,735.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,957.50 : 661,923 = 661,923 : x
  2. Step 2: Convert to fraction form
    307,957.50/661,923 = 661,923/x
  3. Step 3: Cross multiply
    307,957.50x = 661,923 × 661,923
  4. Step 4: Simplify right side
    307,957.50x = 438,142,057,929
  5. Step 5: Solve for x
    x = 438,142,057,929/307,957.50
  6. Step 6: Final answer
    x = 1,422,735.47

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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.