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Finding the Third Proportional to 5,178 and 10,887

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Solution

The third proportional to 5,178 and 10,887 is: 22,890.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178 : 10,887 = 10,887 : x
  2. Step 2: Convert to fraction form
    5,178/10,887 = 10,887/x
  3. Step 3: Cross multiply
    5,178x = 10,887 × 10,887
  4. Step 4: Simplify right side
    5,178x = 118,526,769
  5. Step 5: Solve for x
    x = 118,526,769/5,178
  6. Step 6: Final answer
    x = 22,890.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.