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Finding the Third Proportional to 89,069.63 and 189,069.19

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Solution

The third proportional to 89,069.63 and 189,069.19 is: 401,339.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,069.63 : 189,069.19 = 189,069.19 : x
  2. Step 2: Convert to fraction form
    89,069.63/189,069.19 = 189,069.19/x
  3. Step 3: Cross multiply
    89,069.63x = 189,069.19 × 189,069.19
  4. Step 4: Simplify right side
    89,069.63x = 35,747,157,661.91
  5. Step 5: Solve for x
    x = 35,747,157,661.91/89,069.63
  6. Step 6: Final answer
    x = 401,339.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.