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Finding the Third Proportional to 10,200.50 and 14,439.50

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Solution

The third proportional to 10,200.50 and 14,439.50 is: 20,440.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.50 : 14,439.50 = 14,439.50 : x
  2. Step 2: Convert to fraction form
    10,200.50/14,439.50 = 14,439.50/x
  3. Step 3: Cross multiply
    10,200.50x = 14,439.50 × 14,439.50
  4. Step 4: Simplify right side
    10,200.50x = 208,499,160.25
  5. Step 5: Solve for x
    x = 208,499,160.25/10,200.50
  6. Step 6: Final answer
    x = 20,440.09

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.