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Finding the Third Proportional to 92.07 and 128.99

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Solution

The third proportional to 92.07 and 128.99 is: 180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.07 : 128.99 = 128.99 : x
  2. Step 2: Convert to fraction form
    92.07/128.99 = 128.99/x
  3. Step 3: Cross multiply
    92.07x = 128.99 × 128.99
  4. Step 4: Simplify right side
    92.07x = 16,637.98
  5. Step 5: Solve for x
    x = 16,637.98/92.07
  6. Step 6: Final answer
    x = 180.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.