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Finding the Third Proportional to 48.77 and 65.14

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Solution

The third proportional to 48.77 and 65.14 is: 87.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.77 : 65.14 = 65.14 : x
  2. Step 2: Convert to fraction form
    48.77/65.14 = 65.14/x
  3. Step 3: Cross multiply
    48.77x = 65.14 × 65.14
  4. Step 4: Simplify right side
    48.77x = 4,243.24
  5. Step 5: Solve for x
    x = 4,243.24/48.77
  6. Step 6: Final answer
    x = 87.01

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.