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Finding the Third Proportional to 85,439.81 and 137,272.22

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Solution

The third proportional to 85,439.81 and 137,272.22 is: 220,548.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,439.81 : 137,272.22 = 137,272.22 : x
  2. Step 2: Convert to fraction form
    85,439.81/137,272.22 = 137,272.22/x
  3. Step 3: Cross multiply
    85,439.81x = 137,272.22 × 137,272.22
  4. Step 4: Simplify right side
    85,439.81x = 18,843,662,040.55
  5. Step 5: Solve for x
    x = 18,843,662,040.55/85,439.81
  6. Step 6: Final answer
    x = 220,548.96

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.