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Finding the Third Proportional to 303,921.75 and 661,357.50

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Solution

The third proportional to 303,921.75 and 661,357.50 is: 1,439,165.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,921.75 : 661,357.50 = 661,357.50 : x
  2. Step 2: Convert to fraction form
    303,921.75/661,357.50 = 661,357.50/x
  3. Step 3: Cross multiply
    303,921.75x = 661,357.50 × 661,357.50
  4. Step 4: Simplify right side
    303,921.75x = 437,393,742,806.25
  5. Step 5: Solve for x
    x = 437,393,742,806.25/303,921.75
  6. Step 6: Final answer
    x = 1,439,165.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.