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Finding the Third Proportional to 64.55 and 92.39

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Solution

The third proportional to 64.55 and 92.39 is: 132.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.55 : 92.39 = 92.39 : x
  2. Step 2: Convert to fraction form
    64.55/92.39 = 92.39/x
  3. Step 3: Cross multiply
    64.55x = 92.39 × 92.39
  4. Step 4: Simplify right side
    64.55x = 8,536.03
  5. Step 5: Solve for x
    x = 8,536.03/64.55
  6. Step 6: Final answer
    x = 132.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.