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Finding the Third Proportional to 266,713 and 405,253

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Solution

The third proportional to 266,713 and 405,253 is: 615,755.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,713 : 405,253 = 405,253 : x
  2. Step 2: Convert to fraction form
    266,713/405,253 = 405,253/x
  3. Step 3: Cross multiply
    266,713x = 405,253 × 405,253
  4. Step 4: Simplify right side
    266,713x = 164,229,994,009
  5. Step 5: Solve for x
    x = 164,229,994,009/266,713
  6. Step 6: Final answer
    x = 615,755.49

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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.