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Finding the Third Proportional to 54,724.50 and 78,630.75

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Solution

The third proportional to 54,724.50 and 78,630.75 is: 112,980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,724.50 : 78,630.75 = 78,630.75 : x
  2. Step 2: Convert to fraction form
    54,724.50/78,630.75 = 78,630.75/x
  3. Step 3: Cross multiply
    54,724.50x = 78,630.75 × 78,630.75
  4. Step 4: Simplify right side
    54,724.50x = 6,182,794,845.56
  5. Step 5: Solve for x
    x = 6,182,794,845.56/54,724.50
  6. Step 6: Final answer
    x = 112,980.38

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.