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Finding the Third Proportional to 30.51 and 65.90

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Solution

The third proportional to 30.51 and 65.90 is: 142.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.51 : 65.90 = 65.90 : x
  2. Step 2: Convert to fraction form
    30.51/65.90 = 65.90/x
  3. Step 3: Cross multiply
    30.51x = 65.90 × 65.90
  4. Step 4: Simplify right side
    30.51x = 4,342.24
  5. Step 5: Solve for x
    x = 4,342.24/30.51
  6. Step 6: Final answer
    x = 142.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.