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Finding the Third Proportional to 189,246.38 and 281,135.81

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Solution

The third proportional to 189,246.38 and 281,135.81 is: 417,642.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,246.38 : 281,135.81 = 281,135.81 : x
  2. Step 2: Convert to fraction form
    189,246.38/281,135.81 = 281,135.81/x
  3. Step 3: Cross multiply
    189,246.38x = 281,135.81 × 281,135.81
  4. Step 4: Simplify right side
    189,246.38x = 79,037,345,070.04
  5. Step 5: Solve for x
    x = 79,037,345,070.04/189,246.38
  6. Step 6: Final answer
    x = 417,642.58

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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.