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Finding the Third Proportional to 20,995.66 and 45,681.68

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Solution

The third proportional to 20,995.66 and 45,681.68 is: 99,392.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,995.66 : 45,681.68 = 45,681.68 : x
  2. Step 2: Convert to fraction form
    20,995.66/45,681.68 = 45,681.68/x
  3. Step 3: Cross multiply
    20,995.66x = 45,681.68 × 45,681.68
  4. Step 4: Simplify right side
    20,995.66x = 2,086,815,859.07
  5. Step 5: Solve for x
    x = 2,086,815,859.07/20,995.66
  6. Step 6: Final answer
    x = 99,392.71

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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.