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Finding the Third Proportional to 18,684 and 29,712

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Solution

The third proportional to 18,684 and 29,712 is: 47,249.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,684 : 29,712 = 29,712 : x
  2. Step 2: Convert to fraction form
    18,684/29,712 = 29,712/x
  3. Step 3: Cross multiply
    18,684x = 29,712 × 29,712
  4. Step 4: Simplify right side
    18,684x = 882,802,944
  5. Step 5: Solve for x
    x = 882,802,944/18,684
  6. Step 6: Final answer
    x = 47,249.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.