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Finding the Third Proportional to 15,699 and 34,581

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Solution

The third proportional to 15,699 and 34,581 is: 76,173.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,699 : 34,581 = 34,581 : x
  2. Step 2: Convert to fraction form
    15,699/34,581 = 34,581/x
  3. Step 3: Cross multiply
    15,699x = 34,581 × 34,581
  4. Step 4: Simplify right side
    15,699x = 1,195,845,561
  5. Step 5: Solve for x
    x = 1,195,845,561/15,699
  6. Step 6: Final answer
    x = 76,173.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.