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Finding the Third Proportional to 66.45 and 89.30

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Solution

The third proportional to 66.45 and 89.30 is: 120.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.45 : 89.30 = 89.30 : x
  2. Step 2: Convert to fraction form
    66.45/89.30 = 89.30/x
  3. Step 3: Cross multiply
    66.45x = 89.30 × 89.30
  4. Step 4: Simplify right side
    66.45x = 7,973.93
  5. Step 5: Solve for x
    x = 7,973.93/66.45
  6. Step 6: Final answer
    x = 120.01

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.