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Finding the Third Proportional to 15,677 and 33,628

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Solution

The third proportional to 15,677 and 33,628 is: 72,133.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,677 : 33,628 = 33,628 : x
  2. Step 2: Convert to fraction form
    15,677/33,628 = 33,628/x
  3. Step 3: Cross multiply
    15,677x = 33,628 × 33,628
  4. Step 4: Simplify right side
    15,677x = 1,130,842,384
  5. Step 5: Solve for x
    x = 1,130,842,384/15,677
  6. Step 6: Final answer
    x = 72,133.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.