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Finding the Third Proportional to 34.80 and 75.30

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Solution

The third proportional to 34.80 and 75.30 is: 162.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.80 : 75.30 = 75.30 : x
  2. Step 2: Convert to fraction form
    34.80/75.30 = 75.30/x
  3. Step 3: Cross multiply
    34.80x = 75.30 × 75.30
  4. Step 4: Simplify right side
    34.80x = 5,670.80
  5. Step 5: Solve for x
    x = 5,670.80/34.80
  6. Step 6: Final answer
    x = 162.93

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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.