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Finding the Third Proportional to 18,176 and 19,776

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Solution

The third proportional to 18,176 and 19,776 is: 21,516.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,176 : 19,776 = 19,776 : x
  2. Step 2: Convert to fraction form
    18,176/19,776 = 19,776/x
  3. Step 3: Cross multiply
    18,176x = 19,776 × 19,776
  4. Step 4: Simplify right side
    18,176x = 391,090,176
  5. Step 5: Solve for x
    x = 391,090,176/18,176
  6. Step 6: Final answer
    x = 21,516.85

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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.