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Finding the Third Proportional to 45.84 and 70.17

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Solution

The third proportional to 45.84 and 70.17 is: 107.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.84 : 70.17 = 70.17 : x
  2. Step 2: Convert to fraction form
    45.84/70.17 = 70.17/x
  3. Step 3: Cross multiply
    45.84x = 70.17 × 70.17
  4. Step 4: Simplify right side
    45.84x = 4,924.09
  5. Step 5: Solve for x
    x = 4,924.09/45.84
  6. Step 6: Final answer
    x = 107.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.