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Finding the Third Proportional to 50,802.56 and 78,114.56

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Solution

The third proportional to 50,802.56 and 78,114.56 is: 120,109.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,802.56 : 78,114.56 = 78,114.56 : x
  2. Step 2: Convert to fraction form
    50,802.56/78,114.56 = 78,114.56/x
  3. Step 3: Cross multiply
    50,802.56x = 78,114.56 × 78,114.56
  4. Step 4: Simplify right side
    50,802.56x = 6,101,884,874.57
  5. Step 5: Solve for x
    x = 6,101,884,874.57/50,802.56
  6. Step 6: Final answer
    x = 120,109.79

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.