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Finding the Third Proportional to 266,850 and 405,774

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Solution

The third proportional to 266,850 and 405,774 is: 617,022.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,850 : 405,774 = 405,774 : x
  2. Step 2: Convert to fraction form
    266,850/405,774 = 405,774/x
  3. Step 3: Cross multiply
    266,850x = 405,774 × 405,774
  4. Step 4: Simplify right side
    266,850x = 164,652,539,076
  5. Step 5: Solve for x
    x = 164,652,539,076/266,850
  6. Step 6: Final answer
    x = 617,022.82

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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.