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Finding the Third Proportional to 65.94 and 145.47

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Solution

The third proportional to 65.94 and 145.47 is: 320.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.94 : 145.47 = 145.47 : x
  2. Step 2: Convert to fraction form
    65.94/145.47 = 145.47/x
  3. Step 3: Cross multiply
    65.94x = 145.47 × 145.47
  4. Step 4: Simplify right side
    65.94x = 21,161.16
  5. Step 5: Solve for x
    x = 21,161.16/65.94
  6. Step 6: Final answer
    x = 320.93

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.