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Finding the Third Proportional to 189,968.63 and 300,809.81

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Solution

The third proportional to 189,968.63 and 300,809.81 is: 476,323.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,968.63 : 300,809.81 = 300,809.81 : x
  2. Step 2: Convert to fraction form
    189,968.63/300,809.81 = 300,809.81/x
  3. Step 3: Cross multiply
    189,968.63x = 300,809.81 × 300,809.81
  4. Step 4: Simplify right side
    189,968.63x = 90,486,543,296.29
  5. Step 5: Solve for x
    x = 90,486,543,296.29/189,968.63
  6. Step 6: Final answer
    x = 476,323.62

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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.