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Finding the Third Proportional to 51,000 and 71,692

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Solution

The third proportional to 51,000 and 71,692 is: 100,779.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,000 : 71,692 = 71,692 : x
  2. Step 2: Convert to fraction form
    51,000/71,692 = 71,692/x
  3. Step 3: Cross multiply
    51,000x = 71,692 × 71,692
  4. Step 4: Simplify right side
    51,000x = 5,139,742,864
  5. Step 5: Solve for x
    x = 5,139,742,864/51,000
  6. Step 6: Final answer
    x = 100,779.27

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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.