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Finding the Third Proportional to 48.38 and 70.63

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Solution

The third proportional to 48.38 and 70.63 is: 103.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.38 : 70.63 = 70.63 : x
  2. Step 2: Convert to fraction form
    48.38/70.63 = 70.63/x
  3. Step 3: Cross multiply
    48.38x = 70.63 × 70.63
  4. Step 4: Simplify right side
    48.38x = 4,987.89
  5. Step 5: Solve for x
    x = 4,987.89/48.38
  6. Step 6: Final answer
    x = 103.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.