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Finding the Third Proportional to 266,859 and 405,787

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Solution

The third proportional to 266,859 and 405,787 is: 617,041.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,859 : 405,787 = 405,787 : x
  2. Step 2: Convert to fraction form
    266,859/405,787 = 405,787/x
  3. Step 3: Cross multiply
    266,859x = 405,787 × 405,787
  4. Step 4: Simplify right side
    266,859x = 164,663,089,369
  5. Step 5: Solve for x
    x = 164,663,089,369/266,859
  6. Step 6: Final answer
    x = 617,041.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.