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Finding the Third Proportional to 259,695 and 405,944

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Solution

The third proportional to 259,695 and 405,944 is: 634,554.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,695 : 405,944 = 405,944 : x
  2. Step 2: Convert to fraction form
    259,695/405,944 = 405,944/x
  3. Step 3: Cross multiply
    259,695x = 405,944 × 405,944
  4. Step 4: Simplify right side
    259,695x = 164,790,531,136
  5. Step 5: Solve for x
    x = 164,790,531,136/259,695
  6. Step 6: Final answer
    x = 634,554.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.