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Finding the Third Proportional to 30.45 and 64.41

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Solution

The third proportional to 30.45 and 64.41 is: 136.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.45 : 64.41 = 64.41 : x
  2. Step 2: Convert to fraction form
    30.45/64.41 = 64.41/x
  3. Step 3: Cross multiply
    30.45x = 64.41 × 64.41
  4. Step 4: Simplify right side
    30.45x = 4,148.17
  5. Step 5: Solve for x
    x = 4,148.17/30.45
  6. Step 6: Final answer
    x = 136.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.