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Finding the Third Proportional to 384.96 and 908.93

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Solution

The third proportional to 384.96 and 908.93 is: 2,146.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.96 : 908.93 = 908.93 : x
  2. Step 2: Convert to fraction form
    384.96/908.93 = 908.93/x
  3. Step 3: Cross multiply
    384.96x = 908.93 × 908.93
  4. Step 4: Simplify right side
    384.96x = 826,153.18
  5. Step 5: Solve for x
    x = 826,153.18/384.96
  6. Step 6: Final answer
    x = 2,146.07

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.