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Finding the Third Proportional to 51,394 and 81,435

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Solution

The third proportional to 51,394 and 81,435 is: 129,035.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,394 : 81,435 = 81,435 : x
  2. Step 2: Convert to fraction form
    51,394/81,435 = 81,435/x
  3. Step 3: Cross multiply
    51,394x = 81,435 × 81,435
  4. Step 4: Simplify right side
    51,394x = 6,631,659,225
  5. Step 5: Solve for x
    x = 6,631,659,225/51,394
  6. Step 6: Final answer
    x = 129,035.67

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.