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Finding the Third Proportional to 15.66 and 37.02

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Solution

The third proportional to 15.66 and 37.02 is: 87.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.66 : 37.02 = 37.02 : x
  2. Step 2: Convert to fraction form
    15.66/37.02 = 37.02/x
  3. Step 3: Cross multiply
    15.66x = 37.02 × 37.02
  4. Step 4: Simplify right side
    15.66x = 1,370.45
  5. Step 5: Solve for x
    x = 1,370.45/15.66
  6. Step 6: Final answer
    x = 87.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.