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Finding the Third Proportional to 40,054.50 and 84,739.50

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Solution

The third proportional to 40,054.50 and 84,739.50 is: 179,275.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,054.50 : 84,739.50 = 84,739.50 : x
  2. Step 2: Convert to fraction form
    40,054.50/84,739.50 = 84,739.50/x
  3. Step 3: Cross multiply
    40,054.50x = 84,739.50 × 84,739.50
  4. Step 4: Simplify right side
    40,054.50x = 7,180,782,860.25
  5. Step 5: Solve for x
    x = 7,180,782,860.25/40,054.50
  6. Step 6: Final answer
    x = 179,275.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.