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Finding the Third Proportional to 51,367.50 and 81,506.25

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Solution

The third proportional to 51,367.50 and 81,506.25 is: 129,328.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,367.50 : 81,506.25 = 81,506.25 : x
  2. Step 2: Convert to fraction form
    51,367.50/81,506.25 = 81,506.25/x
  3. Step 3: Cross multiply
    51,367.50x = 81,506.25 × 81,506.25
  4. Step 4: Simplify right side
    51,367.50x = 6,643,268,789.06
  5. Step 5: Solve for x
    x = 6,643,268,789.06/51,367.50
  6. Step 6: Final answer
    x = 129,328.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.