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Finding the Third Proportional to 53,200.13 and 80,905.50

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Solution

The third proportional to 53,200.13 and 80,905.50 is: 123,039.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,200.13 : 80,905.50 = 80,905.50 : x
  2. Step 2: Convert to fraction form
    53,200.13/80,905.50 = 80,905.50/x
  3. Step 3: Cross multiply
    53,200.13x = 80,905.50 × 80,905.50
  4. Step 4: Simplify right side
    53,200.13x = 6,545,699,930.25
  5. Step 5: Solve for x
    x = 6,545,699,930.25/53,200.13
  6. Step 6: Final answer
    x = 123,039.18

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.