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Finding the Third Proportional to 9,993.69 and 21,749.13

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Solution

The third proportional to 9,993.69 and 21,749.13 is: 47,332.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.69 : 21,749.13 = 21,749.13 : x
  2. Step 2: Convert to fraction form
    9,993.69/21,749.13 = 21,749.13/x
  3. Step 3: Cross multiply
    9,993.69x = 21,749.13 × 21,749.13
  4. Step 4: Simplify right side
    9,993.69x = 473,024,778.10
  5. Step 5: Solve for x
    x = 473,024,778.10/9,993.69
  6. Step 6: Final answer
    x = 47,332.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.