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Finding the Third Proportional to 4,000.50 and 4,180.50

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Solution

The third proportional to 4,000.50 and 4,180.50 is: 4,368.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.50 : 4,180.50 = 4,180.50 : x
  2. Step 2: Convert to fraction form
    4,000.50/4,180.50 = 4,180.50/x
  3. Step 3: Cross multiply
    4,000.50x = 4,180.50 × 4,180.50
  4. Step 4: Simplify right side
    4,000.50x = 17,476,580.25
  5. Step 5: Solve for x
    x = 17,476,580.25/4,000.50
  6. Step 6: Final answer
    x = 4,368.60

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Why These Related Problems?

These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.