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Finding the Third Proportional to 45.50 and 70.25

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Solution

The third proportional to 45.50 and 70.25 is: 108.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.50 : 70.25 = 70.25 : x
  2. Step 2: Convert to fraction form
    45.50/70.25 = 70.25/x
  3. Step 3: Cross multiply
    45.50x = 70.25 × 70.25
  4. Step 4: Simplify right side
    45.50x = 4,935.06
  5. Step 5: Solve for x
    x = 4,935.06/45.50
  6. Step 6: Final answer
    x = 108.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.