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Finding the Third Proportional to 7,321 and 15,817

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Solution

The third proportional to 7,321 and 15,817 is: 34,172.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321 : 15,817 = 15,817 : x
  2. Step 2: Convert to fraction form
    7,321/15,817 = 15,817/x
  3. Step 3: Cross multiply
    7,321x = 15,817 × 15,817
  4. Step 4: Simplify right side
    7,321x = 250,177,489
  5. Step 5: Solve for x
    x = 250,177,489/7,321
  6. Step 6: Final answer
    x = 34,172.58

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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.