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Finding the Third Proportional to 140,538.50 and 220,220.50

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Solution

The third proportional to 140,538.50 and 220,220.50 is: 345,080.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,538.50 : 220,220.50 = 220,220.50 : x
  2. Step 2: Convert to fraction form
    140,538.50/220,220.50 = 220,220.50/x
  3. Step 3: Cross multiply
    140,538.50x = 220,220.50 × 220,220.50
  4. Step 4: Simplify right side
    140,538.50x = 48,497,068,620.25
  5. Step 5: Solve for x
    x = 48,497,068,620.25/140,538.50
  6. Step 6: Final answer
    x = 345,080.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.