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Finding the Third Proportional to 42,450.75 and 57,448.13

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Solution

The third proportional to 42,450.75 and 57,448.13 is: 77,743.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,450.75 : 57,448.13 = 57,448.13 : x
  2. Step 2: Convert to fraction form
    42,450.75/57,448.13 = 57,448.13/x
  3. Step 3: Cross multiply
    42,450.75x = 57,448.13 × 57,448.13
  4. Step 4: Simplify right side
    42,450.75x = 3,300,287,066.02
  5. Step 5: Solve for x
    x = 3,300,287,066.02/42,450.75
  6. Step 6: Final answer
    x = 77,743.90

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.