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Finding the Third Proportional to 89,699 and 190,330

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Solution

The third proportional to 89,699 and 190,330 is: 403,856.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,699 : 190,330 = 190,330 : x
  2. Step 2: Convert to fraction form
    89,699/190,330 = 190,330/x
  3. Step 3: Cross multiply
    89,699x = 190,330 × 190,330
  4. Step 4: Simplify right side
    89,699x = 36,225,508,900
  5. Step 5: Solve for x
    x = 36,225,508,900/89,699
  6. Step 6: Final answer
    x = 403,856.33

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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.