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Finding the Third Proportional to 71,268.50 and 153,836.50

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Solution

The third proportional to 71,268.50 and 153,836.50 is: 332,063.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,268.50 : 153,836.50 = 153,836.50 : x
  2. Step 2: Convert to fraction form
    71,268.50/153,836.50 = 153,836.50/x
  3. Step 3: Cross multiply
    71,268.50x = 153,836.50 × 153,836.50
  4. Step 4: Simplify right side
    71,268.50x = 23,665,668,732.25
  5. Step 5: Solve for x
    x = 23,665,668,732.25/71,268.50
  6. Step 6: Final answer
    x = 332,063.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.