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Finding the Third Proportional to 54,235.50 and 83,418.38

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Solution

The third proportional to 54,235.50 and 83,418.38 is: 128,303.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,235.50 : 83,418.38 = 83,418.38 : x
  2. Step 2: Convert to fraction form
    54,235.50/83,418.38 = 83,418.38/x
  3. Step 3: Cross multiply
    54,235.50x = 83,418.38 × 83,418.38
  4. Step 4: Simplify right side
    54,235.50x = 6,958,625,287.64
  5. Step 5: Solve for x
    x = 6,958,625,287.64/54,235.50
  6. Step 6: Final answer
    x = 128,303.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.