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Finding the Third Proportional to 48.09 and 65.39

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Solution

The third proportional to 48.09 and 65.39 is: 88.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.09 : 65.39 = 65.39 : x
  2. Step 2: Convert to fraction form
    48.09/65.39 = 65.39/x
  3. Step 3: Cross multiply
    48.09x = 65.39 × 65.39
  4. Step 4: Simplify right side
    48.09x = 4,275.93
  5. Step 5: Solve for x
    x = 4,275.93/48.09
  6. Step 6: Final answer
    x = 88.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.