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Finding the Third Proportional to 56,144.81 and 121,635.84

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Solution

The third proportional to 56,144.81 and 121,635.84 is: 263,519.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,144.81 : 121,635.84 = 121,635.84 : x
  2. Step 2: Convert to fraction form
    56,144.81/121,635.84 = 121,635.84/x
  3. Step 3: Cross multiply
    56,144.81x = 121,635.84 × 121,635.84
  4. Step 4: Simplify right side
    56,144.81x = 14,795,278,484.77
  5. Step 5: Solve for x
    x = 14,795,278,484.77/56,144.81
  6. Step 6: Final answer
    x = 263,519.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.