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Finding the Third Proportional to 189,947.39 and 300,776.84

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Solution

The third proportional to 189,947.39 and 300,776.84 is: 476,272.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,947.39 : 300,776.84 = 300,776.84 : x
  2. Step 2: Convert to fraction form
    189,947.39/300,776.84 = 300,776.84/x
  3. Step 3: Cross multiply
    189,947.39x = 300,776.84 × 300,776.84
  4. Step 4: Simplify right side
    189,947.39x = 90,466,705,036.57
  5. Step 5: Solve for x
    x = 90,466,705,036.57/189,947.39
  6. Step 6: Final answer
    x = 476,272.43

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.