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Finding the Third Proportional to 266,738 and 412,887

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Solution

The third proportional to 266,738 and 412,887 is: 639,112.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,738 : 412,887 = 412,887 : x
  2. Step 2: Convert to fraction form
    266,738/412,887 = 412,887/x
  3. Step 3: Cross multiply
    266,738x = 412,887 × 412,887
  4. Step 4: Simplify right side
    266,738x = 170,475,674,769
  5. Step 5: Solve for x
    x = 170,475,674,769/266,738
  6. Step 6: Final answer
    x = 639,112.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.