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Finding the Third Proportional to 269,064 and 405,644

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Solution

The third proportional to 269,064 and 405,644 is: 611,553.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,064 : 405,644 = 405,644 : x
  2. Step 2: Convert to fraction form
    269,064/405,644 = 405,644/x
  3. Step 3: Cross multiply
    269,064x = 405,644 × 405,644
  4. Step 4: Simplify right side
    269,064x = 164,547,054,736
  5. Step 5: Solve for x
    x = 164,547,054,736/269,064
  6. Step 6: Final answer
    x = 611,553.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.