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Finding the Third Proportional to 65.73 and 102.07

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Solution

The third proportional to 65.73 and 102.07 is: 158.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.73 : 102.07 = 102.07 : x
  2. Step 2: Convert to fraction form
    65.73/102.07 = 102.07/x
  3. Step 3: Cross multiply
    65.73x = 102.07 × 102.07
  4. Step 4: Simplify right side
    65.73x = 10,418.35
  5. Step 5: Solve for x
    x = 10,418.35/65.73
  6. Step 6: Final answer
    x = 158.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.