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Finding the Third Proportional to 93,812 and 132,111

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Solution

The third proportional to 93,812 and 132,111 is: 186,045.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,812 : 132,111 = 132,111 : x
  2. Step 2: Convert to fraction form
    93,812/132,111 = 132,111/x
  3. Step 3: Cross multiply
    93,812x = 132,111 × 132,111
  4. Step 4: Simplify right side
    93,812x = 17,453,316,321
  5. Step 5: Solve for x
    x = 17,453,316,321/93,812
  6. Step 6: Final answer
    x = 186,045.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.