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Finding the Third Proportional to 377.30 and 800.02

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Solution

The third proportional to 377.30 and 800.02 is: 1,696.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.30 : 800.02 = 800.02 : x
  2. Step 2: Convert to fraction form
    377.30/800.02 = 800.02/x
  3. Step 3: Cross multiply
    377.30x = 800.02 × 800.02
  4. Step 4: Simplify right side
    377.30x = 640,025.00
  5. Step 5: Solve for x
    x = 640,025.00/377.30
  6. Step 6: Final answer
    x = 1,696.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.