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Finding the Third Proportional to 5,982 and 10,476

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Solution

The third proportional to 5,982 and 10,476 is: 18,346.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982 : 10,476 = 10,476 : x
  2. Step 2: Convert to fraction form
    5,982/10,476 = 10,476/x
  3. Step 3: Cross multiply
    5,982x = 10,476 × 10,476
  4. Step 4: Simplify right side
    5,982x = 109,746,576
  5. Step 5: Solve for x
    x = 109,746,576/5,982
  6. Step 6: Final answer
    x = 18,346.13

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These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.