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Finding the Third Proportional to 15,645 and 33,751

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Solution

The third proportional to 15,645 and 33,751 is: 72,811.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,645 : 33,751 = 33,751 : x
  2. Step 2: Convert to fraction form
    15,645/33,751 = 33,751/x
  3. Step 3: Cross multiply
    15,645x = 33,751 × 33,751
  4. Step 4: Simplify right side
    15,645x = 1,139,130,001
  5. Step 5: Solve for x
    x = 1,139,130,001/15,645
  6. Step 6: Final answer
    x = 72,811.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.