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Finding the Third Proportional to 16,948 and 18,484

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Solution

The third proportional to 16,948 and 18,484 is: 20,159.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,948 : 18,484 = 18,484 : x
  2. Step 2: Convert to fraction form
    16,948/18,484 = 18,484/x
  3. Step 3: Cross multiply
    16,948x = 18,484 × 18,484
  4. Step 4: Simplify right side
    16,948x = 341,658,256
  5. Step 5: Solve for x
    x = 341,658,256/16,948
  6. Step 6: Final answer
    x = 20,159.21

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.