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Finding the Third Proportional to 21,049 and 31,628

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Solution

The third proportional to 21,049 and 31,628 is: 47,523.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,049 : 31,628 = 31,628 : x
  2. Step 2: Convert to fraction form
    21,049/31,628 = 31,628/x
  3. Step 3: Cross multiply
    21,049x = 31,628 × 31,628
  4. Step 4: Simplify right side
    21,049x = 1,000,330,384
  5. Step 5: Solve for x
    x = 1,000,330,384/21,049
  6. Step 6: Final answer
    x = 47,523.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.