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Finding the Third Proportional to 12,711,270.50 and 16,321,005

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Solution

The third proportional to 12,711,270.50 and 16,321,005 is: 20,955,828.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711,270.50 : 16,321,005 = 16,321,005 : x
  2. Step 2: Convert to fraction form
    12,711,270.50/16,321,005 = 16,321,005/x
  3. Step 3: Cross multiply
    12,711,270.50x = 16,321,005 × 16,321,005
  4. Step 4: Simplify right side
    12,711,270.50x = 266,375,204,210,025
  5. Step 5: Solve for x
    x = 266,375,204,210,025/12,711,270.50
  6. Step 6: Final answer
    x = 20,955,828.47

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.