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Finding the Third Proportional to 15.61 and 34.08

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Solution

The third proportional to 15.61 and 34.08 is: 74.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.61 : 34.08 = 34.08 : x
  2. Step 2: Convert to fraction form
    15.61/34.08 = 34.08/x
  3. Step 3: Cross multiply
    15.61x = 34.08 × 34.08
  4. Step 4: Simplify right side
    15.61x = 1,161.32
  5. Step 5: Solve for x
    x = 1,161.32/15.61
  6. Step 6: Final answer
    x = 74.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.