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Finding the Third Proportional to 15 and 40.45

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Solution

The third proportional to 15 and 40.45 is: 109.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15 : 40.45 = 40.45 : x
  2. Step 2: Convert to fraction form
    15/40.45 = 40.45/x
  3. Step 3: Cross multiply
    15x = 40.45 × 40.45
  4. Step 4: Simplify right side
    15x = 1,636.46
  5. Step 5: Solve for x
    x = 1,636.46/15
  6. Step 6: Final answer
    x = 109.10

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.