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Finding the Third Proportional to 89,186 and 130,821

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Solution

The third proportional to 89,186 and 130,821 is: 191,892.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,186 : 130,821 = 130,821 : x
  2. Step 2: Convert to fraction form
    89,186/130,821 = 130,821/x
  3. Step 3: Cross multiply
    89,186x = 130,821 × 130,821
  4. Step 4: Simplify right side
    89,186x = 17,114,134,041
  5. Step 5: Solve for x
    x = 17,114,134,041/89,186
  6. Step 6: Final answer
    x = 191,892.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.