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Finding the Third Proportional to 71,777 and 102,747

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Solution

The third proportional to 71,777 and 102,747 is: 147,079.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,777 : 102,747 = 102,747 : x
  2. Step 2: Convert to fraction form
    71,777/102,747 = 102,747/x
  3. Step 3: Cross multiply
    71,777x = 102,747 × 102,747
  4. Step 4: Simplify right side
    71,777x = 10,556,946,009
  5. Step 5: Solve for x
    x = 10,556,946,009/71,777
  6. Step 6: Final answer
    x = 147,079.79

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.