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Finding the Third Proportional to 310,800 and 666,912

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Solution

The third proportional to 310,800 and 666,912 is: 1,431,054.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,800 : 666,912 = 666,912 : x
  2. Step 2: Convert to fraction form
    310,800/666,912 = 666,912/x
  3. Step 3: Cross multiply
    310,800x = 666,912 × 666,912
  4. Step 4: Simplify right side
    310,800x = 444,771,615,744
  5. Step 5: Solve for x
    x = 444,771,615,744/310,800
  6. Step 6: Final answer
    x = 1,431,054.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.