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Finding the Third Proportional to 4,120.13 and 9,020.63

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Solution

The third proportional to 4,120.13 and 9,020.63 is: 19,749.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120.13 : 9,020.63 = 9,020.63 : x
  2. Step 2: Convert to fraction form
    4,120.13/9,020.63 = 9,020.63/x
  3. Step 3: Cross multiply
    4,120.13x = 9,020.63 × 9,020.63
  4. Step 4: Simplify right side
    4,120.13x = 81,371,675.39
  5. Step 5: Solve for x
    x = 81,371,675.39/4,120.13
  6. Step 6: Final answer
    x = 19,749.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.