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Finding the Third Proportional to 48.42 and 74.77

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Solution

The third proportional to 48.42 and 74.77 is: 115.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.42 : 74.77 = 74.77 : x
  2. Step 2: Convert to fraction form
    48.42/74.77 = 74.77/x
  3. Step 3: Cross multiply
    48.42x = 74.77 × 74.77
  4. Step 4: Simplify right side
    48.42x = 5,590.67
  5. Step 5: Solve for x
    x = 5,590.67/48.42
  6. Step 6: Final answer
    x = 115.45

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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.