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Finding the Third Proportional to 412,866 and 656,856

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Solution

The third proportional to 412,866 and 656,856 is: 1,045,035.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,866 : 656,856 = 656,856 : x
  2. Step 2: Convert to fraction form
    412,866/656,856 = 656,856/x
  3. Step 3: Cross multiply
    412,866x = 656,856 × 656,856
  4. Step 4: Simplify right side
    412,866x = 431,459,804,736
  5. Step 5: Solve for x
    x = 431,459,804,736/412,866
  6. Step 6: Final answer
    x = 1,045,035.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.