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Finding the Third Proportional to 13,584,034.13 and 20,322,196.31

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Solution

The third proportional to 13,584,034.13 and 20,322,196.31 is: 30,402,725.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,584,034.13 : 20,322,196.31 = 20,322,196.31 : x
  2. Step 2: Convert to fraction form
    13,584,034.13/20,322,196.31 = 20,322,196.31/x
  3. Step 3: Cross multiply
    13,584,034.13x = 20,322,196.31 × 20,322,196.31
  4. Step 4: Simplify right side
    13,584,034.13x = 412,991,662,963,788.62
  5. Step 5: Solve for x
    x = 412,991,662,963,788.62/13,584,034.13
  6. Step 6: Final answer
    x = 30,402,725.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.