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Finding the Third Proportional to 54,723.75 and 78,629.63

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Solution

The third proportional to 54,723.75 and 78,629.63 is: 112,978.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,723.75 : 78,629.63 = 78,629.63 : x
  2. Step 2: Convert to fraction form
    54,723.75/78,629.63 = 78,629.63/x
  3. Step 3: Cross multiply
    54,723.75x = 78,629.63 × 78,629.63
  4. Step 4: Simplify right side
    54,723.75x = 6,182,617,927.64
  5. Step 5: Solve for x
    x = 6,182,617,927.64/54,723.75
  6. Step 6: Final answer
    x = 112,978.70

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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.