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Finding the Third Proportional to 64.66 and 92.16

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Solution

The third proportional to 64.66 and 92.16 is: 131.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.66 : 92.16 = 92.16 : x
  2. Step 2: Convert to fraction form
    64.66/92.16 = 92.16/x
  3. Step 3: Cross multiply
    64.66x = 92.16 × 92.16
  4. Step 4: Simplify right side
    64.66x = 8,492.77
  5. Step 5: Solve for x
    x = 8,492.77/64.66
  6. Step 6: Final answer
    x = 131.35

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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.