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Finding the Third Proportional to 185.10 and 428.10

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Solution

The third proportional to 185.10 and 428.10 is: 990.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.10 : 428.10 = 428.10 : x
  2. Step 2: Convert to fraction form
    185.10/428.10 = 428.10/x
  3. Step 3: Cross multiply
    185.10x = 428.10 × 428.10
  4. Step 4: Simplify right side
    185.10x = 183,267.60
  5. Step 5: Solve for x
    x = 183,267.60/185.10
  6. Step 6: Final answer
    x = 990.11

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.