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Finding the Third Proportional to 259,697.25 and 405,948.38

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Solution

The third proportional to 259,697.25 and 405,948.38 is: 634,562.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,697.25 : 405,948.38 = 405,948.38 : x
  2. Step 2: Convert to fraction form
    259,697.25/405,948.38 = 405,948.38/x
  3. Step 3: Cross multiply
    259,697.25x = 405,948.38 × 405,948.38
  4. Step 4: Simplify right side
    259,697.25x = 164,794,083,165.14
  5. Step 5: Solve for x
    x = 164,794,083,165.14/259,697.25
  6. Step 6: Final answer
    x = 634,562.30

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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.