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Finding the Third Proportional to 15.64 and 34.32

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Solution

The third proportional to 15.64 and 34.32 is: 75.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.64 : 34.32 = 34.32 : x
  2. Step 2: Convert to fraction form
    15.64/34.32 = 34.32/x
  3. Step 3: Cross multiply
    15.64x = 34.32 × 34.32
  4. Step 4: Simplify right side
    15.64x = 1,177.54
  5. Step 5: Solve for x
    x = 1,177.54/15.64
  6. Step 6: Final answer
    x = 75.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.