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Finding the Third Proportional to 262,786 and 405,844

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Solution

The third proportional to 262,786 and 405,844 is: 626,781.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,786 : 405,844 = 405,844 : x
  2. Step 2: Convert to fraction form
    262,786/405,844 = 405,844/x
  3. Step 3: Cross multiply
    262,786x = 405,844 × 405,844
  4. Step 4: Simplify right side
    262,786x = 164,709,352,336
  5. Step 5: Solve for x
    x = 164,709,352,336/262,786
  6. Step 6: Final answer
    x = 626,781.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.