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Finding the Third Proportional to 55,429.41 and 121,589.06

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Solution

The third proportional to 55,429.41 and 121,589.06 is: 266,715.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,429.41 : 121,589.06 = 121,589.06 : x
  2. Step 2: Convert to fraction form
    55,429.41/121,589.06 = 121,589.06/x
  3. Step 3: Cross multiply
    55,429.41x = 121,589.06 × 121,589.06
  4. Step 4: Simplify right side
    55,429.41x = 14,783,900,119.63
  5. Step 5: Solve for x
    x = 14,783,900,119.63/55,429.41
  6. Step 6: Final answer
    x = 266,715.83

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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.