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Finding the Third Proportional to 15,282 and 31,515

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Solution

The third proportional to 15,282 and 31,515 is: 64,991.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,282 : 31,515 = 31,515 : x
  2. Step 2: Convert to fraction form
    15,282/31,515 = 31,515/x
  3. Step 3: Cross multiply
    15,282x = 31,515 × 31,515
  4. Step 4: Simplify right side
    15,282x = 993,195,225
  5. Step 5: Solve for x
    x = 993,195,225/15,282
  6. Step 6: Final answer
    x = 64,991.18

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.