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Finding the Third Proportional to 1,800.56 and 3,909.94

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Solution

The third proportional to 1,800.56 and 3,909.94 is: 8,490.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.56 : 3,909.94 = 3,909.94 : x
  2. Step 2: Convert to fraction form
    1,800.56/3,909.94 = 3,909.94/x
  3. Step 3: Cross multiply
    1,800.56x = 3,909.94 × 3,909.94
  4. Step 4: Simplify right side
    1,800.56x = 15,287,611.25
  5. Step 5: Solve for x
    x = 15,287,611.25/1,800.56
  6. Step 6: Final answer
    x = 8,490.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.