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Finding the Third Proportional to 30.59 and 51.10

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Solution

The third proportional to 30.59 and 51.10 is: 85.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.59 : 51.10 = 51.10 : x
  2. Step 2: Convert to fraction form
    30.59/51.10 = 51.10/x
  3. Step 3: Cross multiply
    30.59x = 51.10 × 51.10
  4. Step 4: Simplify right side
    30.59x = 2,611.17
  5. Step 5: Solve for x
    x = 2,611.17/30.59
  6. Step 6: Final answer
    x = 85.37

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.