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Finding the Third Proportional to 266,712 and 412,848

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Solution

The third proportional to 266,712 and 412,848 is: 639,054.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,712 : 412,848 = 412,848 : x
  2. Step 2: Convert to fraction form
    266,712/412,848 = 412,848/x
  3. Step 3: Cross multiply
    266,712x = 412,848 × 412,848
  4. Step 4: Simplify right side
    266,712x = 170,443,471,104
  5. Step 5: Solve for x
    x = 170,443,471,104/266,712
  6. Step 6: Final answer
    x = 639,054.38

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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.