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Finding the Third Proportional to 308,837.25 and 666,882

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Solution

The third proportional to 308,837.25 and 666,882 is: 1,440,019.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,837.25 : 666,882 = 666,882 : x
  2. Step 2: Convert to fraction form
    308,837.25/666,882 = 666,882/x
  3. Step 3: Cross multiply
    308,837.25x = 666,882 × 666,882
  4. Step 4: Simplify right side
    308,837.25x = 444,731,601,924
  5. Step 5: Solve for x
    x = 444,731,601,924/308,837.25
  6. Step 6: Final answer
    x = 1,440,019.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.