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Finding the Third Proportional to 89,684 and 134,739

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Solution

The third proportional to 89,684 and 134,739 is: 202,428.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,684 : 134,739 = 134,739 : x
  2. Step 2: Convert to fraction form
    89,684/134,739 = 134,739/x
  3. Step 3: Cross multiply
    89,684x = 134,739 × 134,739
  4. Step 4: Simplify right side
    89,684x = 18,154,598,121
  5. Step 5: Solve for x
    x = 18,154,598,121/89,684
  6. Step 6: Final answer
    x = 202,428.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.