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Finding the Third Proportional to 16,564 and 18,724

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Solution

The third proportional to 16,564 and 18,724 is: 21,165.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564 : 18,724 = 18,724 : x
  2. Step 2: Convert to fraction form
    16,564/18,724 = 18,724/x
  3. Step 3: Cross multiply
    16,564x = 18,724 × 18,724
  4. Step 4: Simplify right side
    16,564x = 350,588,176
  5. Step 5: Solve for x
    x = 350,588,176/16,564
  6. Step 6: Final answer
    x = 21,165.67

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.