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Finding the Third Proportional to 18,909 and 29,409.75

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Solution

The third proportional to 18,909 and 29,409.75 is: 45,741.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,909 : 29,409.75 = 29,409.75 : x
  2. Step 2: Convert to fraction form
    18,909/29,409.75 = 29,409.75/x
  3. Step 3: Cross multiply
    18,909x = 29,409.75 × 29,409.75
  4. Step 4: Simplify right side
    18,909x = 864,933,395.06
  5. Step 5: Solve for x
    x = 864,933,395.06/18,909
  6. Step 6: Final answer
    x = 45,741.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.