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Finding the Third Proportional to 266,904 and 412,827

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Solution

The third proportional to 266,904 and 412,827 is: 638,529.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,904 : 412,827 = 412,827 : x
  2. Step 2: Convert to fraction form
    266,904/412,827 = 412,827/x
  3. Step 3: Cross multiply
    266,904x = 412,827 × 412,827
  4. Step 4: Simplify right side
    266,904x = 170,426,131,929
  5. Step 5: Solve for x
    x = 170,426,131,929/266,904
  6. Step 6: Final answer
    x = 638,529.70

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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.