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Finding the Third Proportional to 18,730 and 39,944

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Solution

The third proportional to 18,730 and 39,944 is: 85,185.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,730 : 39,944 = 39,944 : x
  2. Step 2: Convert to fraction form
    18,730/39,944 = 39,944/x
  3. Step 3: Cross multiply
    18,730x = 39,944 × 39,944
  4. Step 4: Simplify right side
    18,730x = 1,595,523,136
  5. Step 5: Solve for x
    x = 1,595,523,136/18,730
  6. Step 6: Final answer
    x = 85,185.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.