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Finding the Third Proportional to 89,457 and 189,579

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Solution

The third proportional to 89,457 and 189,579 is: 401,759.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,457 : 189,579 = 189,579 : x
  2. Step 2: Convert to fraction form
    89,457/189,579 = 189,579/x
  3. Step 3: Cross multiply
    89,457x = 189,579 × 189,579
  4. Step 4: Simplify right side
    89,457x = 35,940,197,241
  5. Step 5: Solve for x
    x = 35,940,197,241/89,457
  6. Step 6: Final answer
    x = 401,759.47

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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.