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Finding the Third Proportional to 50,090 and 77,456

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Solution

The third proportional to 50,090 and 77,456 is: 119,773.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,090 : 77,456 = 77,456 : x
  2. Step 2: Convert to fraction form
    50,090/77,456 = 77,456/x
  3. Step 3: Cross multiply
    50,090x = 77,456 × 77,456
  4. Step 4: Simplify right side
    50,090x = 5,999,431,936
  5. Step 5: Solve for x
    x = 5,999,431,936/50,090
  6. Step 6: Final answer
    x = 119,773.05

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.