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Finding the Third Proportional to 4,222.13 and 9,137.81

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Solution

The third proportional to 4,222.13 and 9,137.81 is: 19,776.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,222.13 : 9,137.81 = 9,137.81 : x
  2. Step 2: Convert to fraction form
    4,222.13/9,137.81 = 9,137.81/x
  3. Step 3: Cross multiply
    4,222.13x = 9,137.81 × 9,137.81
  4. Step 4: Simplify right side
    4,222.13x = 83,499,617.29
  5. Step 5: Solve for x
    x = 83,499,617.29/4,222.13
  6. Step 6: Final answer
    x = 19,776.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.