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Finding the Third Proportional to 93,825 and 141,543

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Solution

The third proportional to 93,825 and 141,543 is: 213,529.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,825 : 141,543 = 141,543 : x
  2. Step 2: Convert to fraction form
    93,825/141,543 = 141,543/x
  3. Step 3: Cross multiply
    93,825x = 141,543 × 141,543
  4. Step 4: Simplify right side
    93,825x = 20,034,420,849
  5. Step 5: Solve for x
    x = 20,034,420,849/93,825
  6. Step 6: Final answer
    x = 213,529.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.