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Finding the Third Proportional to 259,191.75 and 405,703

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Solution

The third proportional to 259,191.75 and 405,703 is: 635,031.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,191.75 : 405,703 = 405,703 : x
  2. Step 2: Convert to fraction form
    259,191.75/405,703 = 405,703/x
  3. Step 3: Cross multiply
    259,191.75x = 405,703 × 405,703
  4. Step 4: Simplify right side
    259,191.75x = 164,594,924,209
  5. Step 5: Solve for x
    x = 164,594,924,209/259,191.75
  6. Step 6: Final answer
    x = 635,031.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.