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Finding the Third Proportional to 89,428 and 189,515

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Solution

The third proportional to 89,428 and 189,515 is: 401,618.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,428 : 189,515 = 189,515 : x
  2. Step 2: Convert to fraction form
    89,428/189,515 = 189,515/x
  3. Step 3: Cross multiply
    89,428x = 189,515 × 189,515
  4. Step 4: Simplify right side
    89,428x = 35,915,935,225
  5. Step 5: Solve for x
    x = 35,915,935,225/89,428
  6. Step 6: Final answer
    x = 401,618.46

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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.