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Finding the Third Proportional to 66.95 and 145.77

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Solution

The third proportional to 66.95 and 145.77 is: 317.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.95 : 145.77 = 145.77 : x
  2. Step 2: Convert to fraction form
    66.95/145.77 = 145.77/x
  3. Step 3: Cross multiply
    66.95x = 145.77 × 145.77
  4. Step 4: Simplify right side
    66.95x = 21,247.62
  5. Step 5: Solve for x
    x = 21,247.62/66.95
  6. Step 6: Final answer
    x = 317.35

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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.