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Finding the Third Proportional to 15,202.69 and 21,427.03

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Solution

The third proportional to 15,202.69 and 21,427.03 is: 30,199.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,202.69 : 21,427.03 = 21,427.03 : x
  2. Step 2: Convert to fraction form
    15,202.69/21,427.03 = 21,427.03/x
  3. Step 3: Cross multiply
    15,202.69x = 21,427.03 × 21,427.03
  4. Step 4: Simplify right side
    15,202.69x = 459,117,668.19
  5. Step 5: Solve for x
    x = 459,117,668.19/15,202.69
  6. Step 6: Final answer
    x = 30,199.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.