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Finding the Third Proportional to 50.16 and 77.02

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Solution

The third proportional to 50.16 and 77.02 is: 118.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.16 : 77.02 = 77.02 : x
  2. Step 2: Convert to fraction form
    50.16/77.02 = 77.02/x
  3. Step 3: Cross multiply
    50.16x = 77.02 × 77.02
  4. Step 4: Simplify right side
    50.16x = 5,931.41
  5. Step 5: Solve for x
    x = 5,931.41/50.16
  6. Step 6: Final answer
    x = 118.26

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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.