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Finding the Third Proportional to 266,784 and 412,800

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Solution

The third proportional to 266,784 and 412,800 is: 638,733.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,784 : 412,800 = 412,800 : x
  2. Step 2: Convert to fraction form
    266,784/412,800 = 412,800/x
  3. Step 3: Cross multiply
    266,784x = 412,800 × 412,800
  4. Step 4: Simplify right side
    266,784x = 170,403,840,000
  5. Step 5: Solve for x
    x = 170,403,840,000/266,784
  6. Step 6: Final answer
    x = 638,733.36

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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.