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Finding the Third Proportional to 101,031 and 212,538

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Solution

The third proportional to 101,031 and 212,538 is: 447,114.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,031 : 212,538 = 212,538 : x
  2. Step 2: Convert to fraction form
    101,031/212,538 = 212,538/x
  3. Step 3: Cross multiply
    101,031x = 212,538 × 212,538
  4. Step 4: Simplify right side
    101,031x = 45,172,401,444
  5. Step 5: Solve for x
    x = 45,172,401,444/101,031
  6. Step 6: Final answer
    x = 447,114.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.