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Finding the Third Proportional to 11,656.88 and 18,486.38

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Solution

The third proportional to 11,656.88 and 18,486.38 is: 29,317.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.88 : 18,486.38 = 18,486.38 : x
  2. Step 2: Convert to fraction form
    11,656.88/18,486.38 = 18,486.38/x
  3. Step 3: Cross multiply
    11,656.88x = 18,486.38 × 18,486.38
  4. Step 4: Simplify right side
    11,656.88x = 341,746,060.64
  5. Step 5: Solve for x
    x = 341,746,060.64/11,656.88
  6. Step 6: Final answer
    x = 29,317.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.