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Finding the Third Proportional to 310,794 and 666,900

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Solution

The third proportional to 310,794 and 666,900 is: 1,431,030.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,794 : 666,900 = 666,900 : x
  2. Step 2: Convert to fraction form
    310,794/666,900 = 666,900/x
  3. Step 3: Cross multiply
    310,794x = 666,900 × 666,900
  4. Step 4: Simplify right side
    310,794x = 444,755,610,000
  5. Step 5: Solve for x
    x = 444,755,610,000/310,794
  6. Step 6: Final answer
    x = 1,431,030.23

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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.