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Finding the Third Proportional to 192,227.63 and 420,643.13

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Solution

The third proportional to 192,227.63 and 420,643.13 is: 920,474.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,227.63 : 420,643.13 = 420,643.13 : x
  2. Step 2: Convert to fraction form
    192,227.63/420,643.13 = 420,643.13/x
  3. Step 3: Cross multiply
    192,227.63x = 420,643.13 × 420,643.13
  4. Step 4: Simplify right side
    192,227.63x = 176,940,638,609.77
  5. Step 5: Solve for x
    x = 176,940,638,609.77/192,227.63
  6. Step 6: Final answer
    x = 920,474.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.