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Finding the Third Proportional to 45.56 and 64.88

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Solution

The third proportional to 45.56 and 64.88 is: 92.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.56 : 64.88 = 64.88 : x
  2. Step 2: Convert to fraction form
    45.56/64.88 = 64.88/x
  3. Step 3: Cross multiply
    45.56x = 64.88 × 64.88
  4. Step 4: Simplify right side
    45.56x = 4,208.77
  5. Step 5: Solve for x
    x = 4,208.77/45.56
  6. Step 6: Final answer
    x = 92.37

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.