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Finding the Third Proportional to 11,556 and 18,400.50

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Solution

The third proportional to 11,556 and 18,400.50 is: 29,298.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,556 : 18,400.50 = 18,400.50 : x
  2. Step 2: Convert to fraction form
    11,556/18,400.50 = 18,400.50/x
  3. Step 3: Cross multiply
    11,556x = 18,400.50 × 18,400.50
  4. Step 4: Simplify right side
    11,556x = 338,578,400.25
  5. Step 5: Solve for x
    x = 338,578,400.25/11,556
  6. Step 6: Final answer
    x = 29,298.93

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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.