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Finding the Third Proportional to 11,421.95 and 18,914.13

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Solution

The third proportional to 11,421.95 and 18,914.13 is: 31,320.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,421.95 : 18,914.13 = 18,914.13 : x
  2. Step 2: Convert to fraction form
    11,421.95/18,914.13 = 18,914.13/x
  3. Step 3: Cross multiply
    11,421.95x = 18,914.13 × 18,914.13
  4. Step 4: Simplify right side
    11,421.95x = 357,744,420.05
  5. Step 5: Solve for x
    x = 357,744,420.05/11,421.95
  6. Step 6: Final answer
    x = 31,320.79

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.