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Finding the Third Proportional to 192,471.19 and 287,129.81

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Solution

The third proportional to 192,471.19 and 287,129.81 is: 428,342.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,471.19 : 287,129.81 = 287,129.81 : x
  2. Step 2: Convert to fraction form
    192,471.19/287,129.81 = 287,129.81/x
  3. Step 3: Cross multiply
    192,471.19x = 287,129.81 × 287,129.81
  4. Step 4: Simplify right side
    192,471.19x = 82,443,529,226.29
  5. Step 5: Solve for x
    x = 82,443,529,226.29/192,471.19
  6. Step 6: Final answer
    x = 428,342.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.