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Finding the Third Proportional to 189,239.75 and 413,309.50

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Solution

The third proportional to 189,239.75 and 413,309.50 is: 902,689.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,239.75 : 413,309.50 = 413,309.50 : x
  2. Step 2: Convert to fraction form
    189,239.75/413,309.50 = 413,309.50/x
  3. Step 3: Cross multiply
    189,239.75x = 413,309.50 × 413,309.50
  4. Step 4: Simplify right side
    189,239.75x = 170,824,742,790.25
  5. Step 5: Solve for x
    x = 170,824,742,790.25/189,239.75
  6. Step 6: Final answer
    x = 902,689.54

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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.