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Finding the Third Proportional to 384.05 and 902.02

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Solution

The third proportional to 384.05 and 902.02 is: 2,118.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.05 : 902.02 = 902.02 : x
  2. Step 2: Convert to fraction form
    384.05/902.02 = 902.02/x
  3. Step 3: Cross multiply
    384.05x = 902.02 × 902.02
  4. Step 4: Simplify right side
    384.05x = 813,632.19
  5. Step 5: Solve for x
    x = 813,632.19/384.05
  6. Step 6: Final answer
    x = 2,118.58

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.