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Finding the Third Proportional to 50,108 and 77,046

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Solution

The third proportional to 50,108 and 77,046 is: 118,465.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,108 : 77,046 = 77,046 : x
  2. Step 2: Convert to fraction form
    50,108/77,046 = 77,046/x
  3. Step 3: Cross multiply
    50,108x = 77,046 × 77,046
  4. Step 4: Simplify right side
    50,108x = 5,936,086,116
  5. Step 5: Solve for x
    x = 5,936,086,116/50,108
  6. Step 6: Final answer
    x = 118,465.84

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Why These Related Problems?

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