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Finding the Third Proportional to 18,971.72 and 29,313.14

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Solution

The third proportional to 18,971.72 and 29,313.14 is: 45,291.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,971.72 : 29,313.14 = 29,313.14 : x
  2. Step 2: Convert to fraction form
    18,971.72/29,313.14 = 29,313.14/x
  3. Step 3: Cross multiply
    18,971.72x = 29,313.14 × 29,313.14
  4. Step 4: Simplify right side
    18,971.72x = 859,260,213.30
  5. Step 5: Solve for x
    x = 859,260,213.30/18,971.72
  6. Step 6: Final answer
    x = 45,291.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.