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Finding the Third Proportional to 143,178.75 and 323,485.88

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Solution

The third proportional to 143,178.75 and 323,485.88 is: 730,856.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,178.75 : 323,485.88 = 323,485.88 : x
  2. Step 2: Convert to fraction form
    143,178.75/323,485.88 = 323,485.88/x
  3. Step 3: Cross multiply
    143,178.75x = 323,485.88 × 323,485.88
  4. Step 4: Simplify right side
    143,178.75x = 104,643,111,324.52
  5. Step 5: Solve for x
    x = 104,643,111,324.52/143,178.75
  6. Step 6: Final answer
    x = 730,856.44

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.