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Finding the Third Proportional to 266,007 and 399,216

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Solution

The third proportional to 266,007 and 399,216 is: 599,132.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,007 : 399,216 = 399,216 : x
  2. Step 2: Convert to fraction form
    266,007/399,216 = 399,216/x
  3. Step 3: Cross multiply
    266,007x = 399,216 × 399,216
  4. Step 4: Simplify right side
    266,007x = 159,373,414,656
  5. Step 5: Solve for x
    x = 159,373,414,656/266,007
  6. Step 6: Final answer
    x = 599,132.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.